GC MATH 70800: Topology 1, Spring 2018

Department of Mathematcs, The Graduate Center, City University of New York (CUNY)

MATH 70800: Topology 1, Spring 2018

Course time and room:   TTh 12-1:30pm in GC 5417
Instructor:   Ilya Kofman
GC Office:   4214.02
Office hours:   Tues 3-4pm
Email:   ikofman

math.csi.cuny.edu
Website: http://www.math.csi.cuny.edu/~ikofman/

Course outline

Text: Allen Hatcher, Algebraic Topology, Cambridge University Press, ISBN 0-521-79540-0.

Outline: We will cover Chapters 2 and 3 from Hatcher, and some differential topology if we have time.

Homology: simplicial/singular/cellular homology, exact sequences, Mayer-Vietoris, Brouwer fixed point theorem, Hurewicz.
Cohomology: universal coefficients, cup products, Kunneth formula, Poincare duality.
Introduction to differential topology.

Homework: I will collect homework every other week.

Homework 1, due Thursday, Feb 8.
Homework 2, due Thursday, Feb 22.

Quals

Info about first semester of Topology I