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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 ...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.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**...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?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.**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 ...People also ask

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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.