Algebraic topology.
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Algebraic topology. Edited by George Springer and Henry Pollak. by Henri Paul Cartan

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Published by Harvard University in [Cambridge] .
Written in English


  • Topology

Book details:

Edition Notes

ContributionsPollak, Henry,, Springer, George, 1924-,
LC ClassificationsQA611 C268
The Physical Object
Number of Pages169
ID Numbers
Open LibraryOL18128369M

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It is a decent book in algebraic topology, as a reference. At first, I found this textbook rather hard to read. Too many lemmas, theorems, etceteras. Three suggestions: 1. Needs more pictures, especially for the simplicial homology Chapter. 2. CW complexes should be covered before duality and not after. 3. Needs more examples and exercises/5(2). This book was an incredible step forward when it was written (). Lefschetz's Algebraic Topology (Colloquium , Vol 27) was the main text at the time.A large number of other good to great books on the subject have appeared since then, so a review for current readers needs to address two separate issues: its suitability as a textbook and its mathematical content/5(4). This book is written as a textbook on algebraic topology. The first part covers the material for two introductory courses about homotopy and homology. The second part presents more advanced applications and concepts (duality, characteristic classes, homotopy groups of spheres, bordism).5/5(2).   It is a good course which leads the reader systematically to the point at which he can begin to tackle problems in algebraic topology. This book remains one of the best sources for the material which every young algebraic topologist should know." (Corina Mohorianu, Zentralblatt MATH, Vol. (3), )Cited by:

  Great introduction to algebraic topology. For those who have never taken a course or read a book on topology, I think Hatcher's book is a decent starting point. However, (IMO) you should have a working familiarity with Euclidean Geometry, College Algebra, Logic or Discrete Math, and Set Theory before attempting this book/5. Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds.4/5(4). 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 by the European Mathematical Society. The print version is not cheap, but seems to me good value for pages, and . A Concise Course in Algebraic Topology. University of Chicago Press, [$18] — Good for getting the big picture. Perhaps not as easy for a beginner as the preceding book. • G E Bredon. Topology and Geometry. Springer GTM , [$70] — Includes basics on smooth manifolds, and even some point-set topology. • R Bott and L W Tu File Size: 65KB.

This is an expanded and much improved revision of Greenberg's Lectures on Algebraic Topology (Benjamin ), Harper adding 76 pages to the original, most of which remains intact in this version. Greenberg's book was most notable for its emphasis on the Eilenberg-Steenrod axioms for any homology theory and for the verification of those axioms 5/5(1). A Concise Course in Algebraic Topology (J. P. May) This book explains the following topics: The fundamental group and some of its applications, Categorical language and the van Kampen theorem, Covering spaces, Graphs, Compactly generated spaces, Cofibrations, Fibrations, Based cofiber and fiber sequences, Higher homotopy groups, CW complexes, The homotopy excision and suspension . Algebraic Topology. This book, published in , is a beginning graduate-level textbook on algebraic topology from a fairly classical point of view. To find out more or to download it in electronic form, follow this link to the download page. 3. Books on CW complexes 4. Differential forms and Morse theory 5. Equivariant algebraic topology 6. Category theory and homological algebra 7. Simplicial sets in algebraic topology 8. The Serre spectral sequence and Serre class theory 9. The Eilenberg-Moore spectral sequence Cohomology operations Vector File Size: 1MB.