Math 4530, Fall 2025 - Schedule

(Topics subject to change. Section numbers in Munkres are given)

Week Topics
1 Aug 23

Aug 25

Aug 27

§7. Countable and uncountable sets

§12. Topological spaces

Standard topology on R and Cantor set

2 Sep 3

Sep 5

§13. Basis for topology

Subbasis, §14 Order topology

3 Sep 8

Sep 10

Sep 12

§15 Product topology on XxY, §16 Subspace topology

§17 Closed sets and limit points, Hausdorff property

4 Sep 15

Sep 17

Sep 19

§18 continuous functions

homeomorphisms, embeddings

§19 Product toplogy

5 Sep 22

Sep 24

Sep 26

§20 metric topology

§21 uniform convergence

6 Sep 29

Oct 1

Oct 3

§21 Quotient topology

§23 Connectedness

§24 Connected subspaces of R

7 Oct 6 PRELIM

Oct 8

Oct 10

8 Oct 15

Oct 17

9 Oct 20

Oct 22

Oct 24

10 Oct 27

Oct 29

Oct 31

11 Nov 3

Nov 5

Nov 7

12 Nov 10

Nov 12

Nov 14

13 Nov 17

Nov 19

Nov 21

14 Nov 24
15 Dec 1

Dec 3

Dec 5

16 Dec 8
Dec 19, 9am FINAL

Last modified: Tue Oct 7 16:23:08 EDT 2025