書誌事項

Homotopical topology

Anatoly Fomenko, Dmitry Fuchs

(Graduate texts in mathematics, 273)

Springer, c2016

2nd ed

大学図書館所蔵 件 / 59

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注記

Includes bibliographical references (p. 613-617) and indexes

内容説明・目次

内容説明

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).

目次

Introduction.- Homotopy.- Homology.- Spectral Sequences of Fibrations.- Cohomology Operations.- The Adams Spectral Sequence.- K-Theory and Other Extraordinary Cohomology Theories.

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詳細情報

  • NII書誌ID(NCID)
    BB21643597
  • ISBN
    • 9783319234878
  • LCCN
    2015958884
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    [Cham]
  • ページ数/冊数
    xi, 627 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
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