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colimits Subject: and homotopy From: "Claude Schochet" <claude@math.wayne.edu> Date: Mon, 6 Sep 2004 21:25:38 -0400 For toplist: Everybody believes that homotopy commutes with direct limits. Does it in general? To be precise, suppose that X is the direct limit of a directed (not necessarily countable) family X_\alpha of topological spaces with structural maps not necessarily 1-1. Then one would like that the natural map dirlim \pi _*(X_\alpha ) \to \pi _*(X) would be an isomorphism. If I assume nothing about the spaces and nothing about the structural maps other than continuity, is this true? Obviously the key point is any that map from a compact K to X should factor through some X_\alpha. This is true, for instance, if we have a countable increasing union with X having the weak topology and each X_n closed in the next, by Whitehead 1.6.3. Is that the best result? Does it help to assume that each space is the homotopy type of a CW complex? In the case we're looking at we have X_\alpha = F(W_\alpha , U_n(C)) (function space of maps) where {W_\alpha } is an inverse system of finite CW - complexes (nerves of finite covers of W = invlim W_\alpha so we are really looking at dirlim \pi _*(F(W_\alpha , U_n(C)) ) \to \pi _*(X Thanks. Claude
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Lehigh >> DMD >> 1 (Fall, 2008)
Two responses to the question about direct limits.DMD _ Subject: Re: response and question From: N P Strickland <N.P.Strickland@sheffield.ac.uk> Date: Wed, 8 Sep 2004 10:02:31 +0100 > Everybody believes that homotopy commutes with direct limits. Does...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Hopf back up From: Clarence W Wilkerson Jr <wilker@bessel.math.purdue.edu> Date: Mon, 13 Sep 2004 13:18:21 -0500 1) After downtime due to upgrading to Fedora Core 2 and networking problems in the department, Hopf is running again. Please e-m...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Postdoc position at CEA Saclay From: Goubault Eric <Eric.Goubault@cea.fr> Date: Wed, 22 Sep 2004 13:43:01 +0200 To: dmd1@lehigh.edu Postdoc Position at the Commissariat l\'Energie Atomique, Saclay, France == The Software Safety Laboratory (S...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Yuli\'s question From: Laurence Taylor <taylor.2@nd.edu> Date: Fri, 24 Sep 2004 10:42:52 -0500 If no one else has finished off Yuli\'s question, here\'s a solution. Larry > Are homology spheres stably parallelizable? There are certainly rationa...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: question for list From: Max Karoubi <karoubi@math.jussieu.fr> Date: Fri, 24 Sep 2004 12:08:42 +0200 To: Don Davis <dmd1@lehigh.edu> I have the following question for the topology list : In 1957, Emery Thomas generalized the Pontrjagin square...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: response to Karoubi\'s question From: \"FERNANDO MURO JIMENEZ\" <fmuro@us.es> Date: Fri, 24 Sep 2004 19:23:53 +0200 To: <dmd1@Lehigh.EDU> Dear Max, As far as I know one of the latest works on Pontrjagin operations was Baues\'s attempt to general...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: a new question for the list From: John H Palmieri <palmieri@math.washington.edu> Date: Fri, 24 Sep 2004 13:54:27 -0700 To: Don Davis <dmd1@lehigh.edu> Hi Don, Here\'s a batch of new questions for the list. Here are some questions about E_infi...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: three postings From: jds@sas.upenn.edu Date: Mon, 27 Sep 2004 10:02:40 -0400 Response to Palmieri\'s #3 Yes, and the chapter on Massey products in LNM 161 H-spaces froim a homtopy point of view nibbles around the full generality you want ...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Palmieri\'s questions From: Tornike Kadeishvili <kade@rmi-sun.rmi.acnet.ge> Date: Fri, 1 Oct 2004 09:17:24 -0400 (GMT) To: Don Davis <dmd1@lehigh.edu> Here are some answers to John Palmieri\'s questions. Question 1. There are many E_\\infty ope...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: question for the topology list From: Vitali Kapovitch <vitali@math.ucsb.edu> Date: Mon, 27 Sep 2004 16:49:37 +0200 To: Don Davis <dmd1@Lehigh.EDU> Dear Professor Davis, Could you please post the following question on the topology list? I hav...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: one posting From: Prof T Porter <t.porter@bangor.ac.uk> Date: Wed, 29 Sep 2004 10:30:11 +0100 To: Don Davis <dmd1@lehigh.edu> Don Davis wrote: > > > > > > > > > > > > > > > > > > > > > > > > > Only one posting today.DMD __ Subject: for t...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re:Question From: adel george <adelgeorge1@yahoo.com> Date: Wed, 29 Sep 2004 10:12:05 -0700 (PDT) To: dmd1@lehigh.edu From:Dr.George,Adel A. I have the following question,please post it: Where can I find a proof of: A metric space has a cove...
Lehigh >> DMD >> 1 (Fall, 2008)
Just one posting today.DMD _ Subject: BIRS deadline From: Alejandro Adem <adem@math.wisc.edu> Date: Thu, 30 Sep 2004 08:10:52 -0500 (CDT) The Banff International Research Station (BIRS) is soliciting proposals for one week conferences to be held in 2...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: for the list From: Jack Morava <jack@math.jhu.edu> Date: Thu, 30 Sep 2004 17:46:27 -0400 (EDT) To: DON DAVIS <dmd1@lehigh.edu> Dear Don, Could you please post this, on the list? Thanks, sadly, Jack + On 21 September 2004 our friend and colle...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Qn for AlgTop List on topological embeddings From: Andrew Stacey <andrew.stacey@math.ntnu.no> Date: Tue, 5 Oct 2004 14:59:34 +0200 To: Don Davis <dmd1@lehigh.edu> Don, could you post the following question please? I would like to know whethe...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: two questions From: Clarence W Wilkerson Jr <wilker@bessel.math.purdue.edu> Date: Tue, 05 Oct 2004 10:55:54 -0500 The embeddings of open disks in R^n: I have a vague memory of work of Ed Connell in the 60\'s on stable ( not the homotopy t...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Question for the list From: \"B. Hanke\" <Bernhard.Hanke@mathematik.uni-muenchen.de> Date: Tue, 5 Oct 2004 16:21:31 +0200 (MEST) To: dmd1@lehigh.edu Who can say anything about the following question (which looks somehow \'dual\' to the one whose...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: RE: two questions From: \"Neil Strickland\" <N.P.Strickland@sheffield.ac.uk> Date: Tue, 5 Oct 2004 21:44:46 +0100 To: \"Don Davis\" <dmd1@lehigh.edu> > Let Y_0 -> Y_1 -> Y_2 -> . > be a sequence of spectra and maps. > If X is a spectrum, what is...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: question for the toplist From: \"A Lazarev, Mathematics\" <A.Lazarev@bristol.ac.uk> Date: Wed, 06 Oct 2004 19:35:24 +0100 Let k be a commutative ring of char 0 and L be a nilpotent graded Lie algebra over k, free and of finite rank as a k-modu...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: query From: James Stasheff <jds@math.upenn.edu> Date: Wed, 13 Oct 2004 14:29:08 -0400 (EDT) To: dmd1@lehigh.edu, categories@mta.ca Does anyone know of any work on the Hochschild cohomology of a category? other than the formal defintion? for ...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: please post, thanks From: Alejandro Adem <adem@math.ubc.ca> Date: Thu, 14 Oct 2004 11:45:43 -0700 (PDT) To: dmd1@lehigh.edu Dear Topologists: As you may know, I will be relocating to the University of British Columbia [Vancouver] in January ...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: positions at UC Riverside From: Reinhard Schultz <schultz@math.ucr.edu> Date: Mon, 18 Oct 2004 15:04:09 -0700 To: Don Davis <dmd1@lehigh.edu> CC: beverly@math.ucr.edu, wong@math.ucr.edu, adele@math.ucr.edu, schultz@math.ucr.edu Could you ple...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: position announcement From: joprea@wowway.com Date: Wed, 20 Oct 2004 11:37:25 -0400 To: dmd1@lehigh.edu Topologists: I bring to your attention that the Department of Mathematics at Cleveland State University has 2 available (assistant profes...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Mittag-Leffler Postdoc Positions From: Kathryn Hess <kathryn.hess@epfl.ch> Date: Mon, 8 Nov 2004 15:25:58 +0100 To: Don Davis <dmd1@lehigh.edu> CC: Bob OLIVER <bobol@math.univ-paris13.fr>, Bjrn Jahren <bjoernj@math.uio.no> From mid-January t...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: question for list From: Osamu Saeki <saeki@math.kyushu-u.ac.jp> Date: Fri, 12 Nov 2004 17:17:21 +0900 To: Don Davis <dmd1@Lehigh.EDU> CC: Don Davis <dmd1@Lehigh.EDU>, saeki@math.kyushu-u.ac.jp Text book about the Whitney Theorem: I think...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: three postings From: Kevin Iga <kiga@pepvax.pepperdine.edu> Date: Tue, 16 Nov 2004 16:46:42 PST To: dmd1@lehigh.edu (Don Davis) > > > > > > > > > > > Subject: Re: question for list From: jds@sas.upenn.edu Date: Tue, 16 Nov 2004 09:28:13 ...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: book query From: Tom Goodwillie <tomg@math.brown.edu> Date: Tue, 16 Nov 2004 15:29:01 -0500 To: Don Davis <dmd1@lehigh.edu> for the list What would you suggest to a student who wants a text on singular homology that is \"Theorem-Proof-Theorem...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: three postings From: Michael Cole <matmzc@Mail1.Hofstra.edu> Date: Wed, 17 Nov 2004 12:43:06 -0500 To: dmd1@Lehigh.EDU Re Goodwillie\'s query about text on singular homology. Albrecht Dold\'s \"Lectures on Algebraic Topology\" certainly cove...
Lehigh >> DMD >> 1 (Fall, 2008)
One posting: A response to Goodwillie\'s request for streamlined approaches to singular homology.DMD _ Subject: Re: singular theory. From: Ronnie Brown <mas010@bangor.ac.uk> Date: Mon, 22 Nov 2004 14:08:38 +0000 One of the questions is: what does one ...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Please post - thanks, RD From: Reinhard Diestel <diestel@math.uni-hamburg.de> Date: Thu, 18 Nov 2004 15:02:58 +0100 To: dmd1@lehigh.edu Subject: Faculty position at Hamburg (closes 25 Nov) An associate professorship in algebraic topology (te...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Postdoc position From: \"Berrick A J\" <matberic@nus.edu.sg> Date: Fri, 19 Nov 2004 04:30:58 +0800 _ Postdoc position There will be a postdoctoral fellowship available at National University of Singapore (NUS) for the academic year 2005-06, wi...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: PhD studentships advert for topology list From: David J Green <green@math.uni-wuppertal.de> Date: Fri, 19 Nov 2004 13:51:21 +0100 (MET) To: Donald M Davis <dmd1@lehigh.edu> Dear topologists, At the University of Wuppertal we have several DFG...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: one posting, a question From: \"Dr A. J. Baker\" <a.baker@maths.gla.ac.uk> Date: Tue, 30 Nov 2004 09:40:05 -0000 (GMT) To: <dmd1@Lehigh.EDU> Both Steenrod (Cohomology Operations) and Cartan & Eilenberg (Homological Algebra) discuss this si...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: A question (for the list) on Lie algebras From: Antonio Viruel <viruel@agt.cie.uma.es> Date: Tue, 30 Nov 2004 09:34:35 +0100 To: Don Davis <dmd1@lehigh.edu> Dear all, An algebraist college asked me the following: is there any \"topological si...
Lehigh >> DMD >> 1 (Fall, 2008)
- Forwarded message from David Eisenbud <de@msri.org> -Date: Fri, 3 Dec 2004 14:45:22 -0800 From: David Eisenbud <de@msri.org> Subject: Shiing-Shen Chern: 1911-2004 Dear Friends and Colleagues, I\'m sad to share with you what I just learned: Shiing-Sh...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Origins of Alexander Grothendieck\'s Pursuing Stacks From: Ronnie Brown <mas010@bangor.ac.uk> Date: Mon, 06 Dec 2004 13:56:48 +0000 To: Don Davis <dmd1@lehigh.edu> For discussion list Origins of Alexander Grothendieck\'s Pursuing Stacks In vie...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Please post on Hopf - thanks, A. From: Andrew Ranicki <a.ranicki@ed.ac.uk> Date: Mon, 06 Dec 2004 17:20:47 +0000 To: Don Davis <dmd1@lehigh.edu> 2 positions in Edinburgh The School of Mathematics at the University of Edinburgh is advertising...
Lehigh >> DMD >> 1 (Fall, 2008)
{\ tf1\\ansi\\ansicpg1252\\deff0\\deflang1033{\\fonttbl{\\f0\\fnil\\fcharset0 Courier New;} {\\*\\generator Msftedit 5.41.15.1507;}\\viewkind4\\uc1\\pard\\f0\\fs20 Subject: Re:Question\\par From: adel george <adelgeorge1@yahoo.com>\\par Date: Wed, 8 Dec 2004 06:15:18...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: RE: question From: \"Neil Strickland\" <N.P.Strickland@sheffield.ac.uk> Date: Thu, 9 Dec 2004 14:03:38 -0000 To: \"Don Davis\" <dmd1@lehigh.edu> Let I be the first uncountable ordinal, and for i in I let X(i) be the space of order-preserving emb...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: question From: \"Carlos Prieto (113)\" <cprieto@matem.unam.mx> Date: Mon, 13 Dec 2004 13:03:47 -0600 (CST) To: Don Davis <dmd1@lehigh.edu> Here an Answer to Adel\'s question. Prop. Under the given hypothesis, X = lim X(j) is non empty. the ...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re:Question From: adel george <adelgeorge1@yahoo.com> Date: Mon, 13 Dec 2004 05:56:14 -0800 (PST) To: dmd1@lehigh.edu From:Dr.George,Adel A. I have the following 2 questions,please post it: 1. Let Y be the inverse limit of the topological sp...
Lehigh >> DMD >> 1 (Fall, 2008)
Three comments on Friday\'s posting regarding an exercise in Hatcher\'s text.DMD _ Subject: [Fwd: Re: Questions about Algebraic Topology] From: Peter Landweber <landwebe@math.rutgers.edu> Date: Fri, 10 Dec 2004 17:35:31 -0500 - Original Message -Subjec...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Lu Hwa\'s questions From: julius korbas <korbas@fmph.uniba.sk> Date: Mon, 13 Dec 2004 17:10:03 +0100 A question for the list: Is it simpler to make a list of people who recently received a question from Lu Hwa, or a list of those who didn\'t r...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: five postings From: \"Nicholas J. Kuhn\" <njk4x@cms.mail.virginia.edu> Date: Mon, 13 Dec 2004 15:42:08 -0500 These dubious requests for help seem similar in spirit to the many messages that (US) math departments get sent at this time of th...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: AMS ethical guidelines From: Bill Richter <richter@math.northwestern.edu> Date: Thu, 16 Dec 2004 21:09:23 -0600 To: dmd1@lehigh.edu CC: njk4x@cms.mail.virginia.edu Nick Kuhn wrote on Dec 13: I think [the AMS ethical guidelines] is well writt...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: two more on ethics From: \"Martin C. Tangora\" <tangora@uic.edu> Date: Tue, 21 Dec 2004 15:12:23 -0600 Bill Richter is too optimistic here. \"None of us plagiarize.\" I know of two egregious cases in algebraic topology. One was plagiarism pu...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: plagiarism and dead areas From: \"Claude Schochet\" <claude@math.wayne.edu> Date: Wed, 22 Dec 2004 10:35:38 -0500 To: \"\'Don Davis\'\" <dmd1@lehigh.edu> My old friend Marty Tangora says: >I know of two egregious cases in algebraic topology. >One ...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: 3 postings From: jim stasheff <jds@math.upenn.edu> Date: Wed, 22 Dec 2004 20:37:01 -0500 To: Don Davis <dmd1@lehigh.edu> Ioan Jmaes\' book Remarkable Mathematicians deals inpassing with some of the issues Claude raises -from a historical ...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Question for list From: Allen Hatcher <hatcher@math.cornell.edu> Date: Tue, 21 Dec 2004 22:38:19 -0500 To: Don Davis <dmd1@lehigh.edu> I have a two-part history/literature question about simplicial sets: 1. Where in the literature is there a...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: simplicial complexes From: Brayton Gray <brayton@shell.math.uic.edu> Date: Wed, 22 Dec 2004 09:10:31 -0600 To: hatcher@math.cornell.edu, dmd1@Lehigh.EDU CC: Brayton Gray <brayton@shell.math.uic.edu> I cannot answer your questions, but do hav...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: simplicial sets From: Brayton Gray <brayton@shell.math.uic.edu> Date: Fri, 31 Dec 2004 14:01:40 -0600 To: John Rognes <rognes@math.uio.no>, dmd1@Lehigh.EDU, hatcher@math.cornell.edu CC: Brayton Gray <brayton@shell.math.uic.edu> I should have...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: please post on the top net From: \"Mara D. Neusel\" <mneusel@koch.math.ttu.edu> Date: Wed, 22 Dec 2004 10:24:39 -0600 (CST) To: \"Donald M. Davis\" <dmd1@lehigh.edu> Hi there you all, our control theorists asked me to teach a course on fibre bun...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: job advert for the list From: \"Neil Strickland\" <N.P.Strickland@sheffield.ac.uk> Date: Mon, 10 Jan 2005 15:28:01 -0000 To: \"Don Davis\" <dmd1@lehigh.edu> I will be hiring a postdoc for a 35 month project on \"Symmetric powers of spheres\". The ...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: postdoc position again From: \"Neil Strickland\" <N.P.Strickland@sheffield.ac.uk> Date: Fri, 14 Jan 2005 09:42:43 -0000 To: \"\'Don Davis\'\" <dmd1@lehigh.edu> It seems that information about my postdoc position is harder to find than it should be...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: reference for generalized Poincar\\\'e duality From: \"John R. Klein\" <klein@math.wayne.edu> Date: Mon, 17 Jan 2005 10:44:22 +0200 To: Don Davis <dmd1@lehigh.edu> Dear Don, Here\'s a question for the list. --I\'m seeking an _attribution_ (I do no...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: question about smoothness From: Izak Grguric <grguric@math.ubc.ca> Date: Thu, 20 Jan 2005 14:12:15 -0800 (PST) To: Don Davis <dmd1@lehigh.edu> For a neat proof of this see: Kosinski: \"Differential Manifolds\" page 48 Cor 2.6: If f,g : M->...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: response and conf From: Jeffrey H Smith <jhs@math.purdue.edu> Date: Fri, 21 Jan 2005 10:00:00 -0500 (EST) To: Don Davis <dmd1@lehigh.edu> Come on guys, smooth fucntions are dense in continuous functions and so the space of smooth maps is...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: two postings From: Nils Barth <nbarth@math.uchicago.edu> Date: Mon, 24 Jan 2005 11:32:29 -0600 To: Don Davis <dmd1@lehigh.edu> Jeff, density doesn\'t do it: Q is dense in R, R2\ is dense in R2, but these aren\'t weak homotopy equivalent. ...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: 3 postings From: Jeffrey H Smith <jhs@math.purdue.edu> Date: Tue, 25 Jan 2005 11:34:47 -0500 (EST) To: Don Davis <dmd1@lehigh.edu> JFC These are standard results from the fifties and sixties. The space of smooth maps is dense in the spac...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: two postings From: Jeffrey H Smith <jhs@math.purdue.edu> Date: Wed, 26 Jan 2005 21:14:15 -0500 (EST) To: Don Davis <dmd1@lehigh.edu> The mistake is assuming that I was trying to give a proof of anything. I was giving a one line statement...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Jobs in Glasgow From: \"Dr A. J. Baker\" <a.baker@maths.gla.ac.uk> Date: Sun, 23 Jan 2005 22:23:01 -0000 (GMT) To: <dmd1@lehigh.edu> Jobs in Glasgow My department is about to advertise 3 positions (see draft advert below). I would be happy to ...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Jobs in Glasgow From: \"Dr A. J. Baker\" <a.baker@maths.gla.ac.uk> Date: Fri, 1 Apr 2005 15:41:49 +0100 (BST) To: <dmd1@lehigh.edu> CC: <bchorny2@uwo.ca>, <uli@math.aau.dk>, <chebolu@math.washington.edu>, <kpa@amu.edu.pl> Jobs in Glasgow Some ...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: question for the group From: ogle@math.ohio-state.edu Date: Sat, 29 Jan 2005 09:37:40 -0500 (EST) To: dmd1@lehigh.edu Call a cellular n-complex K resolvable if there is a collapsible n-complex X and a surjective cellular map r:X -> K with co...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Isotropic subgroups of H^1 From: Dave Rusin <rusin@math.niu.edu> Date: Mon, 31 Jan 2005 11:22:03 -0600 (CST) One posting.DMD _ My colleague Dan Grubb sent me this question to post to topologists: Let X be a \'sufficiently nice\' space, say at ...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject:Re: question abt sbgps of H^1 From:\"Nicholas J. Kuhn\" <njk4x@cms.mail.virginia.edu> Date:Tue, 01 Feb 2005 11:18:56 -0500 Here is an answer to the question sent in by Dave Rusin: With d(X) and n(X) as in the message (copied below), (1) d(X) is...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: comment on N.Kuhn remark From: Alejandro Adem <adem@math.ubc.ca> Date: Fri, 11 Feb 2005 14:12:42 -0800 (PST) To: dmd1@lehigh.edu This comment is about a construction Nick Kuhn recently mentioned: -Let V be a finite dimensional Z/2 vector spa...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: four responses From: \"Nicholas J. Kuhn\" <njk4x@cms.mail.virginia.edu> Date: Mon, 14 Feb 2005 10:39:20 -0500 To: Don Davis <dmd1@Lehigh.EDU> Alex Adem\'s comments spur me to mention one more comment about the question posted before. Recall...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: a comment From: Alejandro Adem <adem@math.wisc.edu> Date: Mon, 14 Feb 2005 17:33:42 -0600 (CST) To: Don Davis <dmd1@lehigh.edu> A comment on Nick\'s reply: if H is a proper subgroup of G(n), then it cannot map onto H_1(G(n), Z/2) = V(n) (it\'s...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Re: question and answer From: asikora@buffalo.edu Date: Tue, 01 Feb 2005 13:55:41 -0500 Here is an answer to Dan Grubb\'s question: n(X)<=d(X) In fact we have a sharper inequality: We say that a set {v_1,.,v_n} of elements of H1(X;Z) is primi...
Lehigh >> DMD >> 1 (Fall, 2008)
Subject: Question for top-list From: \"Carlos.SIMPSON\" <carlos@math.unice.fr> Date: Mon, 31 Jan 2005 14:08:26 +0100 To: Don Davis <dmd1@lehigh.edu> Dear Don, Could you please post the following question to the top-list? Thanks-Carlos Hello, Does anybo...
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