Accession Number:

AD0404257

Title:

GROUPS OF HOMOTOPY EQUIVALENCES

Descriptive Note:

Corporate Author:

COLUMBIA UNIV NEW YORK

Personal Author(s):

Report Date:

1962-01-01

Pagination or Media Count:

23.0

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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE