This is the webpage for my fall 2020 section of Math 151a (algebraic and differential topology).

The syllabus is posted here. This is subject to minor revisions, as necessary. In the interest of transparency, all versions will remain available at this webpage.
version replaced 10/9 available here (added TA office hours, changed hw due date from Mondays to Wednesdays)

We will be drawing from the books Algebraic Topology (by Allen Hatcher) and A Concise Course in Algebraic Topology (by Peter May).

email: mazelgee@

office hour: 1:30-2:30pm on Fridays

schedule:

week	lecture notes	readings	homework	due date	solutions
1 (9/28-10/2)	1-3	May §1 and/or Hatcher §1.1	hw1	Mon. 10/5	hw1solns
2 (10/5-9)	3-4	May §1 and/or Hatcher §1.1	hw2	Wed. 10/14	hw2solns
3 (10/12-16)	4-5	May §1 and/or Hatcher §1.1	hw3	Wed. 10/21	hw3solns
4 (10/19-23)	6-8	May §2 (cf. Hatcher §1.2)	hw4	Wed. 10/28	hw4solns
5 (10/26-30)	9	May §2 and Hatcher §1.2	hw5	Wed. 11/4	hw5solns
6 (11/2-6)	9-11	Hatcher §1.3 (cf. May §3)	hw6	Wed. 11/11	hw6solns
7 (11/9-13)	11-13	Hatcher §1.3 (cf. May §3)	hw7	Wed. 11/18	hw7solns
8 (11/16-20)	13-15	Hatcher §2.3 & §2.1 and May §13-14	hw8	Wed. 12/2	hw8solns
9 (11/23-27)	15-16	Hatcher §2.1 and May §12	hw9	Fri. 12/4	hw9solns
10 (11/30-12/4)	16-17	Hatcher §§2.1-2.2

lecture notes:

1. the idea of algebraic topology
2. the definition of the fundamental group
3. fundamental properties of the fundamental group
4. the fundamental group of the circle
5. fundamental group miscellanea
6. the definition of the fundamental groupoid
7. some fundamentals of category theory
8. co/limits
9. van Kampen's theorem
10. definition of covering spaces
11. lifting properties of covering spaces
12. classification of covering spaces
13. deck groups
14. the idea of homology
15. simplicial homology
16. singular homology
17. cellular homology