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On the additivity and cofinality of Radon measures

Part of: Set functions and measures on spaces with additional structure

Published online by Cambridge University Press:  26 February 2010

D. H. Fremlin
D. H. Fremlin
Affiliation:
Department of Mathematics, University of Essex, Wivenhoe Park, Colchester, CO4 3SQ
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Extract

Cardinal functions of topologies have been extensively studied. Cardinal functions of measures have attracted less interest, perhaps because there are fewer straightforward results which are independent of special axioms. In this paper I consider the “additivity” and “cofinality” of a measure (Definition 1) and show that they can often be calculated in terms of certain fundamental cardinals (Corollary 11 and Theorem 16).

MSC classification

Secondary: 28C15: Set functions and measures on topological spaces (regularity of measures, etc.)
Type
Research Article
Information
Mathematika , Volume 31 , Issue 2 , December 1984 , pp. 323 - 335
Copyright
Copyright © University College London 1984

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