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 own. If
your solution uses any results not introduced in
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 be your own.
If your solution uses any results not intro
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. If
your solution uses any results not introduced in cl
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. If
your solution uses any results not introduced in cl
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 locally compact metric space Y , and y Y , there exists
y >
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 do all 4 then I will drop the
lowest score).
1. Let cfw_
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. If
your solution uses any results not introduced in c
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. If
your solution uses any results not introduced in c
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 among yourselves. Also feel free to ask the instructor fo
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 problems among yourselves. Also feel free
to ask the ins
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. If
your solution uses any results not introduced in clas
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. If
your solution uses any results not introduced in clas