Accession Number : AD0722358

Title :   Monotone Image of E Superscript 3,

Corporate Author : WISCONSIN UNIV MADISON

Personal Author(s) : Bing,R. H. ; Martin,Joseph M.

Report Date : APR 1971

Pagination or Media Count : 22

Abstract : Using the fact that there is a monotone map of a cube onto itself such that each point inverse intersects the boundary, it is shown that there is a compact monotone map of Euclidean 3-space E sup 3 onto any compact connected 3-manifold whatsoever. Alternative methods are given for describing these maps. (Author)

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

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE