ON ONE EVALLLUATION FOR LYUSTERNIKSHNNIREL'MAN CATEGORY,

Abstract

Two lemmas are presented for the proof of the theorem. If the homotopic groups of the n-dimensional connected polyhedron K to the nth power are trivial to the k-th order inclusively, then the category of this polyhedron does not exceed (n/k+1) + 1.

Document Details

Document Type
Technical Report
Publication Date
May 25, 1964
Accession Number
AD0606743

Entities

People

  • D. P. Grossman

Organizations

  • National Air and Space Intelligence Center

Tags

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Systems Analysis and Design