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N-compact spaces as limits of inverse systems of discrete spaces

Published online by Cambridge University Press:  09 April 2009

Kim-Peu Chew
Kim-Peu Chew
Affiliation:
State University of New York at Buffalo
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Abstract

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Let N denote the discrete space of all natural numbers. A space X is N-compact if it is homeomorphic with some closed subspace of a product of copies of N. In this paper, N-compact spaces are characterized as homeomorphs of inverse limit space of inverse systems of copies of subsets of N. Also, it is shown that a space X is N-compact if and only if the space (X) of all non-empty compact subsets of X with the finite topology is N-compact.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 14 , Issue 4 , December 1972 , pp. 467 - 469
Copyright
Copyright © Australian Mathematical Society 1972

References

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