Elements of homology theory

著者

書誌事項

Elements of homology theory

V.V. Prasolov ; [translated from the Russian by Olga Sipacheva]

(Graduate studies in mathematics, v. 81)

American Mathematical Society, c2007

タイトル別名

Элементы теории гомологий

Ėlementy teorii gomologiĭ

大学図書館所蔵 件 / 全37件

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注記

Translation of: Элементы теории гомологий

Includes bibliographical references (p. 403-409) and index

内容説明・目次

内容説明

The book is a continuation of the previous book by the author (Elements of Combinatorial and Differential Topology, Graduate Studies in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples and applications. Then the Kolmogorov-Alexander multiplication in cohomology is introduced. A significant part of the book is devoted to applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. The later chapters are concerned with singular homology and cohomology, and Cech and de Rham cohomology. The book ends with various applications of homology to the topology of manifolds, some of which might be of interest to experts in the area. The book contains many problems; almost all of them are provided with hints or complete solutions.

目次

Simplicial homology Cohomology rings Applications of simplicial homology Singular homology Cech cohomology and de Rham cohomology Miscellany Hints and solutions Bibliography Index.

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詳細情報

  • NII書誌ID(NCID)
    BA82051335
  • ISBN
    • 9780821838129
  • LCCN
    2006047074
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 原本言語コード
    rus
  • 出版地
    Providence, R.I.
  • ページ数/冊数
    ix, 418 p.
  • 大きさ
    26 cm
  • 分類
  • 件名
  • 親書誌ID
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