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Metric Spaces Without Large Closed Discrete Sets

Published online by Cambridge University Press:  20 November 2018

W. W. Comfort  and
Anthony W. Hager
W. W. Comfort
Affiliation:
Wesleyan University Middletown, Connecticut
Anthony W. Hager
Affiliation:
Wesleyan University Middletown, Connecticut
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We investigate the structure of those non-separable metric spaces X, and their Stone-Čech compactifications, for which X has no closed discrete subspace of power equal to the weight of X. (Throughout this paper we denote the weight of X—the smallest power of a base for the topology of X—by the symbol wX.)

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 3 , 01 June 1976 , pp. 611 - 626
Copyright
Copyright © Canadian Mathematical Society 1976

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