An introduction to homotopy theory

書誌事項

An introduction to homotopy theory

by P.J. Hilton

(Cambridge tracts in mathematics and mathematical physics, no. 43)

Cambridge University Press, 2008

  • : pbk

大学図書館所蔵 件 / 2

この図書・雑誌をさがす

注記

"Re-issued in this digitally printed version 2008"--T.p. verso

内容説明・目次

内容説明

Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology. This monograph provides an account of the subject which bridges the gap between the fundamental concepts of topology and the more complex treatment to be found in original papers. The first six chapters describe the essential ideas of homotopy theory: homotopy groups, the classical theorems, the exact homotopy sequence, fibre-spaces, the Hopf invariant, and the Freudenthal suspension. The final chapters discuss J. H. C. Whitehead's cell-complexes and their application to homotopy groups of complexes.

目次

  • 1. Introduction
  • 2. The homotopy groups
  • 3. The classical theorems of homotopy theory
  • 4. The exact homotopy sequence
  • 5. Fibre-Spaces
  • 6. The Hopf invariant and suspension theorems
  • 7. Whitehead cell-complexes
  • 8. Homotopy groups of complexes.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

  • NII書誌ID(NCID)
    BB08013834
  • ISBN
    • 9780521052658
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge
  • ページ数/冊数
    142 p.
  • 大きさ
    22 cm
  • 分類
  • 親書誌ID
ページトップへ