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