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Topological Properties of Limits of Inverse Systems Of Measures

Published online by Cambridge University Press:  20 November 2018

Donald J. Mallory*
Affiliation:
Simon Fraser University, Burnaby, British Columbia
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It has been shown (Mallory and Sion [6]) that the problem of finding "limit" measures for inverse systems of measure spaces (Xi, μi)i∊I can be successfully attacked by establishing the existence of a “limit” measure on the product space , then considering the restriction to the inverse limit set .

In this paper we use a similar point of view to establish conditions under which a system of Radón measures has a “limit” measure which is also Radón.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1974

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