
Accession Number : AD0722375
Title : Extending Monotone Decompositions of 3Manifolds,
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 3space 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 1complexes. (Author)
Descriptors : (*ALGEBRAIC TOPOLOGY, MAPPING(TRANSFORMATIONS)), SET THEORY, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE