Accession Number:

AD0604710

Title:

CECH COMPACTIFICATIONS OF PRODUCTS,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

Report Date:

1955-05-16

Pagination or Media Count:

7.0

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 betaX 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

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE