Accession Number : AD0604710

Title :   CECH COMPACTIFICATIONS OF PRODUCTS,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Glicksberg,Irving

Report Date : 16 MAY 1955

Pagination or Media Count : 7

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)

Descriptors :   (*TOPOLOGY, THEOREMS), SET THEORY, FUNCTIONAL ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE