CECH COMPACTIFICATIONS OF PRODUCTS,

Abstract

The purpose of this note is to point out the following easily obtained relationships between pseudo-compactness and Cech compactifications of certain product spaces: (a) If beta (X x Y) = beta(X) x beta (Y) and neither X nor Y is finite, then X, Y and X x Y are pseudo-compact; (b) if X and Y are pseudo-compact, and one is locally compact, beta (X x Y) = beta (X) x beta (Y); where beta (X) denotes the Cech compactification of X. Combined, the conditions yield one apparently new fact about 6seudocompact spaces: A finite product of pseudo-compact spaces, all but one of them locally compact, is pseudo-compact. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 16, 1955
Accession Number
AD0604710

Entities

People

  • Irving Glicksberg

Organizations

  • RAND Corporation

Tags

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Organic Chemistry
  • Powder metallurgy of Titanium alloys.

Technology Areas

  • Space