Klein Bottle

Prof. Alex Suciu

MATH 7321 · Topology 3

Spring 2017
 
Tuesday & Thursday 4:10-5:40pm in 544 NI
Office hours: Tuesday & Thursday 3:00-4:00pm in 435 LA

This is a course in classical Algebraic Topology, and some of its applications. Topics we may cover include: Higher homotopy groups, cofibrations, fibrations, fiber bundles, homotopy sequences, homotopy groups of Lie groups and associated manifolds, cellular approximation, Hurewicz theorem, Whitehead theorem, Eilenberg-MacLane spaces, obstruction theory, Postnikov towers, H-spaces and Hopf algebras, Bockstein homomorphism, Poincaré-Lefschetz duality, Alexander duality, Euler class, Gysin sequence, cobordism, intersection form, signature, plumbing, cohomology of fiber bundles, classifying spaces, characteristic classes, spectral sequences, Steenrod squares.
We will cover material selected from the following textbooks:
Here are some other useful references, and material for further reading:

* Homework assignments

  • Homework 1: Hatcher, Chapter 3.3, pp. 257-259: Problems 2, 3&4, 5, 6, 10, 24. Due January 19.
  • Homework 2: Hatcher, Chapter 3.3, pp. 258-260: Problems 7&9, 25, 26, 28, 29, 32&33. Due February 2.
  • Homework 4: Hatcher, Chapter 4.1, p. 358, Problem 17; Chapter 4.2, p. 392, Problem 34; Chapter 4.G, p. 460, Problem 1; Chapter 4.H, p. 466, Problems 1, 2; Chapter 4.I, p. 469, Problem 1. Due March 2.


* Class Materials


Department of Mathematics  Office:  435 Lake Hall  Messages:  (617) 373-2450 
Northeastern University Phone:  (617) 373-3899 Fax:  (617) 373-5658
Boston, MA, 02115  Email:  a.suciu@neu.edu Directions

Home Started:  December 3, 2016
Last modified:  April 15, 2017
www.northeastern.edu/suciu/MATH7321/top3.sp17.html