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The intersection of a continuum of open dense sets

Published online by Cambridge University Press:  17 April 2009

Kevin A. Broughan
Kevin A. Broughan
Affiliation:
Department of Mathematics, University of Waikato, Hamilton, New Zealand.
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Abstract

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It is proved that every metrizable topological space without isolated points is the union of a continuum or fewer nowhere dense subsets.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 16 , Issue 2 , April 1977 , pp. 267 - 272
Copyright
Copyright © Australian Mathematical Society 1977

References

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