THE EQUIVALENCE OF CERTAIN HOMOLOGICAL DETERMINATIONS IN TOPOLOGY,

Abstract

In this article there is given a direct proof of the theorem of A. N. Kolmogorov of the equivalence of internal groups of cohomologies of a local-bicompact Hausdorff space, openly embedded in the bicompactum, with relative groups of cohomologies of this bicompactum, using only the homological determinations of P. S. Aleksandrov (instead of those determinations introduced by A. N. Kolmogorov and applied by him in the note just cited, based on another idea).

Document Details

Document Type
Technical Report
Publication Date
Sep 21, 1964
Accession Number
AD0606555

Entities

People

  • M. F. Bokshtein

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Algebraic Topology
  • Geometry
  • Topology

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space
  • Space - Orbital Debris