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Homotopical Topology - Graduate Texts in Mathematics 273 (Paperback)
  • Homotopical Topology - Graduate Texts in Mathematics 273 (Paperback)

Homotopical Topology - Graduate Texts in Mathematics 273 (Paperback)

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Paperback 627 Pages / Published: 30/05/2018
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This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand. The first English translation, done many decades ago, remains very much in demand, although it has been long out-of-print and is difficult to obtain. Therefore, this updated English edition will be much welcomed by the mathematical community. Distinctive features of this book include: a concise but fully rigorous presentation, supplemented by a plethora of illustrations of a high technical and artistic caliber; a huge number of nontrivial examples and computations done in detail; a deeper and broader treatment of topics in comparison to most beginning books on algebraic topology; an extensive, and very concrete, treatment of the machinery of spectral sequences. The second edition contains an entirely new chapter on K-theory and the Riemann-Roch theorem (after Hirzebruch and Grothendieck).

Publisher: Springer International Publishing AG
ISBN: 9783319794907
Number of pages: 627
Weight: 967 g
Dimensions: 235 x 155 x 33 mm
Edition: Softcover reprint of the original 2nd ed. 201


"This book is a treasure trove for every mathematician who has to deal with classical algebraic topology and homotopy theory on the research level. ... Its style is refreshing and informative, and the reader can feel the authors' joy at sharing their insight into algebraic topology. ... will be a useful addition to any mathematical bookshelf." (Thomas Huttemann, Mathematical Reviews, March, 2017)

"This book covers all the basic material necessary for complete understanding of the fundamentals of algebraic topology ... . This increase in the number of topics has made the book more convenient for serious students not only to extend their knowledge but also to gain insight into the interplay between these three subjects. ... This book is designed to help students to select the level of learning subjects they want to reach ... ." (Haruo Minami, zbMATH 1346.55001, 2016)

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