This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

Algebraic topology: course

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Book



Can I separate my hands without unlocking my fingers?

Description

This is an introductory, two semester course on algebraic topology and its applications. It is intended for advanced undergraduate and beginning graduate students.


Prerequisites

Lectures

The links below are outdated. The source of material is currently in a draft of a book called Topology Illustrated.

Part 1. Introduction to algebraic topology

Part 2. Complexes

Part 3. Overview of point-set topology

Part 4. Homology groups


Introductory algebraic topology: review

Notes

I would call the course "Applied algebraic topology" if I didn't think algebraic topology is applied enough as it is.

The content is based on the complete set of lecture notes for a course taught by Peter Saveliev in Fall 2009/Spring 2010 at Marshall University. Some of it was inspired by this book:

Further reading


You can also reach this page by typing AlgebraicTopology.org.