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An introduction to homotopy theory

Posted on 2010-03-16




Name:An introduction to homotopy theory
ASIN/ISBN:0521052653
Language:English
File size:1 Mb
Publish Date: 1953
Pages: 142 pages
File Size: 1 MB
Other Info: Cambridge University Press; ISBN-10 / ASIN: 0521052653, B002DIPKN4; Djvu
   An introduction to homotopy theory

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P.J. Hilton, ""

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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