Extending Monotone Decompositions of 3-Manifolds,

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)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1971
Accession Number
AD0722375

Entities

People

  • R. H. Bing

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Chemical Reactions
  • Decomposition

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space