Math 6801
Algebraic Topology 1
Fall 2017


Lecturer:   Michael Davis
    Office:   MW (Math Tower) 616
    E-mail:   davis.12@osu.edu
    Phone:   292-4886
    Office hours:     MWF  10:10 - 11:00 AM or by appointment

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,  University Hall 086,  Call no. 16815

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. 
Then we will begin homology theory. 

My homepage:  click here    Math Department's webpage:  click here

Lecture notes:  Aug 22-28, Aug 30-Sept 1Sept 6-11, Sept 12-20, Sept 21-29,  Oct.. 1-10, Oct.18, Oct. 22-Nov. 3,  Nov. 5-14
            
Midterm: in class, Friday, October 20 (on fundamental group and covering spaces)

Last homework: will be graded and = final.  due Dec. 6

Trees (Serre's book)



Homework Assignments

Number
Due Date
pages
Problems
Section 0
Sept. 8
18 -19
1, 2, 3, 4, 9, 11, 14, 18
Section 1.1
Sept. 20
38-40
2, 5, 6, 9, 10, 13, 16, 18, 20
Section 1.2
Sept. 27
52-53
1, 3, 4, 5, 7
Section 1.2
Section 1.3
Oct. 6
53
79
8, 9, 10, 11, 12
1, 2, 4, 6, 10
Section 1.3
Oct. 16
80-82
12, 13, 14, 15, 18, 19, 25, 30, 31
Section 2.1
Nov. 3

106
131
Prove Lemma 2.1 (without looking at proof in book)
1, 2, 3, 4
Section 2.1
Nov. 17
131-132
5, 6, 8, 11, 12, 14, 15, 18, 20, 22
Section 2.1
Dec. 6
132-133
16, 17, 23, 24. 26 27, 28, 29