MATHEMATICS 421/510, PROBLEM SET 4
Due on Thursday, March 8
Write clearly and legibly, in complete sentences. You may discuss the
homework with other students, but the nal write-up must be your own. I
MATHEMATICS 421/510, PROBLEM SET 2
Due on Wednesday, February 3
Write clearly and legibly, in complete sentences. You may discuss the
homework with other students, but the nal write-up must be your ow
MATHEMATICS 421/510, PROBLEM SET 1
Due on Wednesday, January 20
Write clearly and legibly, in complete English sentences. You may discuss
the homework with fellow students, but the nal write-up must b
MATHEMATICS 421/510, PROBLEM SET 5
Due on Wednesday, March 31
Write clearly and legibly, in complete sentences. You may discuss the
homework with other students, but the nal write-up must be your own.
MATHEMATICS 421/510, PROBLEM SET 4
Due on Wednesday, March 17
Write clearly and legibly, in complete sentences. You may discuss the
homework with other students, but the nal write-up must be your own.
Theorem. If X is a metrizable, locally compact space that is -compact, show
that C0 (X) is separable.
Proof. The theorem will be proved using the following sequence of lemmas.
Lemma 1. Given any local
MATHEMATICS 421/510 HOMEWORK 5
Due Friday, April 8
Marking: Since this is the end of term :), everyone gets 40% for free. For the remaining
60%, you need to get 3 problems out of the 4 below (if you d
MATHEMATICS 421/510, PROBLEM SET 2
Due on Thursday, February 2
Write clearly and legibly, in complete sentences. You may discuss the
homework with other students, but the nal write-up must be your own
MATHEMATICS 421/510, PROBLEM SET 1
Due on Thursday, January 19
Write clearly and legibly, in complete sentences. You may discuss the
homework with other students, but the nal write-up must be your own
Math 421/510, Spring 2007, Homework Set 1
(due on Wednesday January 24)
Instructions
Homework will be collected at the end of lecture on Wednesday.
You are encouraged to discuss homework problems am
Math 421/510, Spring 2007, Homework Set 2
(Suggested due date: Friday February 9)
Instructions
Homework will be collected at the end of lecture on Wednesday.
You are encouraged to discuss homework p
MATHEMATICS 421/510, PROBLEM SET 6
Due on Thursday, April 5
Write clearly and legibly, in complete sentences. You may discuss the
homework with other students, but the nal write-up must be your own. I
Mathematics 421/510
Final Examination April 24th 2014
Page 1 of 10
This final exam has 9 questions on 10 pages, for a total of 100 marks.
Duration: 2 hours 30 minutes
Full Name (including all middle n