
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 pseudocompactness 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 pseudocompact; (b) if X and Y are pseudocompact, 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 pseudocompact spaces, all but one of them locally compact, is pseudocompact. (Author)
Descriptors : (*TOPOLOGY, THEOREMS), SET THEORY, FUNCTIONAL ANALYSIS
Distribution Statement : APPROVED FOR PUBLIC RELEASE