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On the additivity and cofinality of Radon measures

Published online by Cambridge University Press:  26 February 2010

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).

Type
Research Article
Copyright
Copyright © University College London 1984

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