Math 6802
Algebraic Topology 2
  Spring 2018


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, MW 154,  Call no. 15444

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:  Jan 8-12,  Jan 17-22Jan 24-Feb 2Feb 5-7Feb21-Mar2Mar 4 -19
            
Midterm:

Last homework:





Homework Assignments

Number
Due Date
pages
Problems
2.2
Jan. 19
155-157
1, 2, 3, 8, 11, 20, 21, 23, 24
2.2
Jan. 29
157-159
26, 27, 29, 30, 31, 33, 36, 40
3.1
3.A
Feb. 9

204-206
267
1, 2, 3, 4, 5, 11, 13
1, 2
3.2
Feb. 23
228-230
2, 3, 4, 6, 7 14, 15, 16
for #4, Lefschetz Fixed Pt. Thm is in 2.C, p. 179
3.3
March 9
257-260
3, 4, 5, 6, 7, 8, 9, 10, 11, 31, 32, 33
4.1
April 4
358-359
1, 2, 4, 5, 10, 11, 12
4.1
4.2
April 25
April 25
359
388-392
17
1, 2, 8, 9, 12, 13, 15, 19