Accession Number:

AD0617856

Title:

ON SUITABLE MANIFOLDS,

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV LOS ANGELES

Personal Author(s):

Report Date:

1963-12-30

Pagination or Media Count:

8.0

Abstract:

M is a manifold and GM denotes the group of all homeomorphisms of M onto itself with the compactopen topology. For a point e belonging to M, M is suitable if there exists a continuous map T M approaching GM such that T xxe and T e identity. This note shows that when M is compact, suitability is equivalent to the existence on M of a continuous multiplication which has many of the properties of a group multiplication. A definition is also given of suitability for differentiable manifolds with a proof that such manifolds are parallelizable. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE