Subjects / Algebraic topology

Best books to learn Algebraic topology, in order

Algebraic topology converts shapes into groups so that questions you cannot answer geometrically — can this space be deformed into that one, does this map have a fixed point, can a sphere be combed flat — become computations.

Build your own Algebraic topology list →Browse all paths

Reading paths for algebraic topology

Popular algebraic topology books

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Frequently asked questions

How should I approach learning algebraic topology?
Algebraic topology converts shapes into groups so that questions you cannot answer geometrically — can this space be deformed into that one, does this map have a fixed point, can a sphere be combed flat — become computations.
What's a good book to start algebraic topology with?
A strong starting point is Homology theory by James W. Vick. The ordered reading paths above show exactly where it fits and what to read next.
What should I read after algebraic topology?
Once you have the fundamentals, explore closely related subjects like Algebraic geometry.

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