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: **ikofmanmath.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.

Quals

Info about first semester of Topology I