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Supports of Borel measures

Part of: Fairly general properties Probability theory on algebraic and topological structures

Published online by Cambridge University Press:  09 April 2009

Susumu Okada
Susumu Okada
Affiliation:
Department of Mathematics I.A.S. Australian National UniversityCanberra A.C.T. 2600, Australia
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Abstract

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We present a new class of topological spaces called SL-spaces, on which every Borel measure has a Lindelöf support. The class contains all metacompact spaces. However, a θ-refinable space is not necessarily an SL-space.

MSC classification

Secondary: 60B05: Probability measures on topological spaces 54D20: Noncompact covering properties (paracompact, Lindelöf, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 27 , Issue 2 , March 1979 , pp. 221 - 231
Copyright
Copyright © Australian Mathematical Society 1979

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