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Algebraic topology: course

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Can I separate my hands without unlocking my fingers?


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



The links below are outdated.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


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

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