Lecturer:
Michael
Davis
Office: MW (Math Tower)
616
E-mail:
davis.12@math.osu.edu
Phone: 292-4886
Office hours:
MWF 10:15 - 11:00 AM
Text: Allen Hatcher,
Algebraic Topology,
Cambridge University Press, 2002. ISBN 0-521-79540-0
http://www.math.cornell.edu/~hatcher/AT/ATpage.html
Class:
MWF 9:10 - 10:05 AM, CL 0109, Call no.
6192.
Catalog
Description: Simplicial and CW- complexes,
operations on spaces; homotopy and homeomorphism type;
fundamental group,
Seifert Van-Kampen Theorem; classification of covering spaces;
singular and simplicial homology, chain maps, homotopy
invariance, functoriality.
In the fall semester we will concentrate on the fundamental
group and the theory of covering spaces.
If there is time left at the end of the semester, we will begin
homology theory.
My
homepage: click here
Math
Department's webpage: click here
Eilenberg-Zilber paper
Homework Assignments
Number
|
Due Date
|
pages
|
Problems
|
1
|
Sept.
7
|
Ch.
0, pp. 18-20
|
4, 5, 6, 8, 12, 18, 25
|
2
|
Sept.
21
|
Ch.
1.1, pp. 38-39
|
3, 5, 6, 8, 9, 10, 12,
13, 15, 17, 20
|
3
|
Oct.
5
|
Ch.
1.2, pp. 52-55
|
1, 2, 3, 4, 6, 12, 22
|
4
|
Oct.
19
|
Ch.
1.3, pp. 79-82
|
7, 8, 9, 10, 11, 12, 14,
32
|
5
|
Nov.
2
|
Ch.
1.A, pp. 86-87
|
2, 3, 5, 6, 7, 8, 9, 10,
11
|
6
|
Dec.
4
|
Ch.
2.1, p. 131
|
4, 5, 6, 8, 9
|
7
|
Dec.
4
|
Ch.
2.1, pp. 132-133
|
16, 17, 20 - 23, 25, 26,
27, 29
|
|
|
|
|
|
|
|
|
Lectures for November 26 - 30
Date
|
Speaker
|
Topics
|
Pages
|
Nov. 26
|
Max Kahn
|
Examples +
invariance of domain (= Thm. 2.26)
|
124 - 128
|
Nov. 28
|
Jake Blomquist
|
Equivalence of
simplicial and singular homology
|
128 -131
|
Nov. 30
|
Osman Okutan
|
Degree of a map
+ applications
|
134 -137
|