MA 572 Ralph M. Kaufmann

MA 572 - Spring 2020

Instructor: Ralph Kaufmann

Office: Math 730
Contact via e-mail

Date and Time: TTh 03:00-4:15 pm MATH 215

Syllabus (revised)

Office hours: Online by appointment.

Texts:

[M] Munkres. Elements of Algebraic Topology
[GM] Gelfand Manin. Methodos of Homological algebra. Springer 1996. Chapter 1.
[L] Loday. Cyclic Homology. Appendix B.

[GM] and [L] are in the library as a course reserve

Homework: All from Munkres.

#
Exercises
Due

1
[GM] p.14 #1, detail the proof of Lemma 2a) on p24 algebraically by
splitting the sum and obtaining 0.
[GM] p. 65 #1,4,5,6a,b (read c,d).
[M] Paragraph 28 p156:# 1 for examples (c) and (h), 2 (d). Th 01/30

2
Read §2. §3:1,4. read §4;do §4:2,3a; §5:2,6; §6:2,4,6 Tu 02/11

3
§ 7.1;§ 8.1; §9.2; § 10.1;2;3; §23.1;
Tu 02/25

4
§24,2,3,5,6 a,7 §25: 4,6 Tu 3/3

5
§30: 5,7; §31:1; §32, Read and do 1; §33:2,3 Th 3/12

6
§21: 1,2; §35: 2, 5; §37: 3; optional §26 1,2. Tu 3/31

7
§38: 4, §39: 1, 2, 5, §40: 2; §44 1,4 Tu 4/7

8
§48: 1, 2 §49: 3, 4; optional 8; §50: 2,4 Tu 4/14

9
§53: 1;§54 2,4; §55: 1; §59: 4a,c,d; §66:2 Tu 4/21

Final: Due 5/5 at 5:30pm via e-mail. (Click here)

NEWS: New homework. Take-home final is available.

#	Exercises	Due
1	[GM] p.14 #1, detail the proof of Lemma 2a) on p24 algebraically by splitting the sum and obtaining 0. [GM] p. 65 #1,4,5,6a,b (read c,d). [M] Paragraph 28 p156:# 1 for examples (c) and (h), 2 (d).	Th 01/30
2	Read §2. §3:1,4. read §4;do §4:2,3a; §5:2,6; §6:2,4,6	Tu 02/11
3	§ 7.1;§ 8.1; §9.2; § 10.1;2;3; §23.1;	Tu 02/25
4	§24,2,3,5,6 a,7 §25: 4,6	Tu 3/3
5	§30: 5,7; §31:1; §32, Read and do 1; §33:2,3	Th 3/12
6	§21: 1,2; §35: 2, 5; §37: 3; optional §26 1,2.	Tu 3/31
7	§38: 4, §39: 1, 2, 5, §40: 2; §44 1,4	Tu 4/7
8	§48: 1, 2 §49: 3, 4; optional 8; §50: 2,4	Tu 4/14
9	§53: 1;§54 2,4; §55: 1; §59: 4a,c,d; §66:2	Tu 4/21