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On Subspaces of Replete and Measure Replete Spaces

Published online by Cambridge University Press:  20 November 2018

Peter Grassi
Peter Grassi*
Affiliation:
Hofstra University HempsteadN.Y. 11550
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Abstract

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The concepts of repleteness and more generally measure repleteness are investigated for set-theoretic lattices on specific subspaces of a lattice space. These general results are then applied to specific topological spaces, and we obtain as special cases some known theorems as well as some new results concerning for example, ∝-completeness, realcompactness, measure compactness and Borel-measure compactness.

Keywords

28A60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 1 , 01 March 1984 , pp. 58 - 64
Copyright
Copyright © Canadian Mathematical Society 1984

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