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