GROUPS OF HOMOTOPY EQUIVALENCES

Abstract

Information on groups of homotopy equivalences is presented. The method is inductive, and it is connected with the Postnikov procedure of decomposing a space according to homotopy groups. Two different groups of homotopy equivalences are considered, the first being the ordinary one and the second being a quotient of it by those equivalences which induce the identity isomorphism on homotopy groups. In the absence of any structure theory for non- Abelian groups (which may possibly be infinitely generated), it seems impossible to determine these groups exactly. They can be determined, up to a series of extensions.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1962
Accession Number
AD0404257

Entities

People

  • Donald W. Kahn

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Algebraic Topology
  • Coefficients
  • Contracts
  • Coverings
  • Decomposition
  • Equations
  • Geometry
  • Identities
  • Inclusions
  • Literature
  • Mathematics
  • Military Research
  • Notation
  • Sequences
  • Topology

Fields of Study

  • Mathematics

Readers

  • Gender and Food Studies
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space