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Measure theoretic techniques in topology and mappings of replete and measure replete spaces

Published online by Cambridge University Press:  17 April 2009

George Bachman  and
Alan Sultan
George Bachman
Affiliation:
Department of Mathematics, Polytechnic Institute of New York, Brook lyn, New York, USA;
Alan Sultan
Affiliation:
Department of Mathematics, Queens College, City University of New York, Flushing, New York, USA.
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Abstract

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We prove in this paper several results on lattice related measures and images of such measures under mappings. If we apply these to various areas of point set topology we obtain as corollaries many known and new results on sequential compactness, repleteness, and measure repleteness – areas of recent considerable interest to mathematicians.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 18 , Issue 2 , April 1978 , pp. 267 - 285
Copyright
Copyright © Australian Mathematical Society 1978

References

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