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Polish globalization of Polish group partial actions
Author(s) -
Pinedo Hector,
Uzcátegui Carlos
Publication year - 2017
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.201600018
Subject(s) - metrization theorem , globalization , mathematics , separable space , polish space , group (periodic table) , pure mathematics , space (punctuation) , political science , mathematical analysis , philosophy , law , linguistics , physics , quantum mechanics
Abstract Let X be a separable metrizable space. We establish a criteria for the existence of a metrizable globalization for a given continuous partial action of a separable metrizable group G on X . If G and X are Polish spaces, we show that the globalization is also a Polish space. We also show the existence of an universal globalization for partial actions of Polish groups.