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  1. The book has no homology theory, so it contains only one initial part of algebraic topology. BUT, another part of algebraic topology is in the new jointly authored book Nonabelian Algebraic Topology: filtered spaces, crossed complexes, cubical homotopy groupoids (NAT) published in 2011 by the European Mathematical Society. The print version is ...

  2. The book is beautifully written,very modern and geometric at the same time and it's written in the form of a directed set of exercises with no explicit proofs.It takes a lot of guts to write a problem course in algebraic topology and Strom's looks fabulous. It's definitely worth a look after Hatcher.

  3. A very beautiful introduction to algebraic geometry is the book "Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra" in the Springer undergraduate texts in mathematics series. (It only requires basic abstract algebra as a prerequisite). The second "half" of Munkres' 2000 Topology ...

  4. Aug 25, 2022 · As far as I know, according to google, Eilenberg, Steenrod's book: Foundations of Algebraic Topology was published in 1952, and Spanier's book: Algebraic Topology was published in 1966. My Questions are the following: Is there any book on Algebraic Topology which was published between 1952-1966?

  5. Rotman's Algebraic Topology Friedl's notes at Regensburg: Well-written, thorough and has nice pictures. Way too long, maybe better as a reference. tom Dieck: Slightly more advanced, can be a bit dry. But I like the algebraic perspective and the overall structure. Slightly more advanced/requires more maturity: 4) May's Concise course.

  6. Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classify up to homotopy equivalence . Although algebraic topology primarily uses algebra to study topological ...

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  8. 23. I will have to teach a topology course: it starts in point set topology and ends at fundamental group of S1 S 1. In the past I have used two different books: Elementary Topology. Textbook in Problems, by O.Ya.Viro, O.A.Ivanov, V.M.Kharlamov and N.Y.Netsvetaev. A First Course in Algebraic Topology by Czes Kosniowski.

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