Math 6801
Algebraic Topology 1


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