Accession Number : AD0617856

Title :   ON SUITABLE MANIFOLDS,

Corporate Author : CALIFORNIA UNIV LOS ANGELES

Personal Author(s) : Brown,Robert F.

Report Date : 30 DEC 1963

Pagination or Media Count : 8

Abstract : M is a manifold and G(M) 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 G(M) such that T (x)(x)=e 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)

Descriptors :   (*ALGEBRAIC TOPOLOGY, THEORY), FUNCTIONS(MATHEMATICS), DIFFERENTIAL EQUATIONS, TOPOLOGY

Distribution Statement : APPROVED FOR PUBLIC RELEASE