Homework

MATH 4431


   Date    Chapter/Topics   or   Page/Problems

T   Aug 21 Introduction: The Euler Characteristic
            Assignment 1a  Due T August 28
Th   23    Definition of Topology 
            Assignment 1b  Due T August 28
T    28    (open sets continued) 
           Definition of continuity
            Assignment 2a  Due T September 4
Th   30    Continuity and the metric topology
            Assignment 2b  Due T September 4
T  Sept 4  Metric topology (continued)
           Distance functions on sets
            Assignment 3  Due T September 11
Th    6    Tietze extension
           Compactness
T    11    review
Th   13     Exam 1 Chapters 1 and 2 
T    18    Compactness (continued)
            Assignment 4a  Due T September 11
Th   20    Compactness (continued)
            Assignment 4b  Due T September 11
T    25    Compactness (continued)  (Baby Tychanov)
            Assignment 5a  Due T October 2
Th   27    Compactness (continued)  (Heine-Borel)
T  Oct 2   Connectedness
            Assignment 6a  Due Th October 11
Th    4    Connectedness (continued)
            Assignment 6b  Due Th October 11
T     9    Fall Break
Th   11    Connectedness (continued); review
            Assignment 7  Due T October 16
T    16    Exam 2
Th   18    Quotient topology
T    23    The quotient topology (continued)
            Assignment 8a  Due T October 30
Th   25    The quotient topology (continued)
T    30    The quotient topology (examples)
Th Nov 1   The projective plane
            Assignment 9  Due T November 6
            Cut, Paste, Manipulate Activity Guide 
T     6    The quotient topology (group actions)
            Assignment 10  Due T November 13
Th    8     Exam 3 (with solutions)  
T    13    The Fundamental Group
            Assignment 11a  Due T November 20
Th   15    The bottom of the projective plane and the Mobius strip
T    20    The Fundamental Group (not really---really that and other stuff)
            Problem 1.6.21 (Armstrong)  
Assignment 12 Due T November 27 Th 22 Thanksgiving (no class) Final Comments T 27 Th 29 F 30 PhD defense T Dec 4 Th Dec 6 Final Exam