Accession Number:

AD0722358

Title:

Monotone Image of E Superscript 3,

Descriptive Note:

Corporate Author:

WISCONSIN UNIV MADISON

Personal Author(s):

Report Date:

1971-04-01

Pagination or Media Count:

22.0

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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE