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  1. Home
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  3. An Introduction to Homotopy Theory
  • Cited by 100
Publisher:
Cambridge University Press
Online publication date:
February 2015
Print publication year:
1953
Online ISBN:
9780511666278
DOI:
https://doi.org/10.1017/CBO9780511666278
Subjects:
Mathematics (general), Mathematics, Geometry and Topology
Series:
Cambridge Tracts in Mathematics (43)
Information

Book description

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.

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