Accession Number : AD0722375

Title :   Extending Monotone Decompositions of 3-Manifolds,

Corporate Author : WISCONSIN UNIV MADISON

Personal Author(s) : Bing,R. H.

Report Date : APR 1971

Pagination or Media Count : 31

Abstract : It is shown that if Y is a closed subset of Euclidean 3-space E sup 3 such that each component of Y is compact but does not separate E sup 3, then there is a compact monotone map of E sup 3 onto itself such that the components of Y are point inverses and the nondegenerate point inverses not in Y are polyhedral 1-complexes. (Author)

Descriptors :   (*ALGEBRAIC TOPOLOGY, MAPPING(TRANSFORMATIONS)), SET THEORY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE