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On irreducible spaces

Published online by Cambridge University Press:  17 April 2009

James R. Boone
James R. Boone
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas, USA.
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Abstract

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A constructive proof of a theorem of Worrell and Wicke, which states that every open covering of a θ-refinable space has a σ-distributively point-finite open refinement that covers the space minimally, is presented. Spaces for which every open covering has an open refinement which covers the space minimally are characterized by the use of discrete closed collections and some open questions relating to spaces of this type are included.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 12 , Issue 1 , February 1975 , pp. 143 - 148
Copyright
Copyright © Australian Mathematical Society 1975

References

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