Polish globalization of Polish group partial actions

2016/02/20 by Hector Pinedo, Pinedo, Hector, Carlos Uzcategui +1 · 1 citation
Mathematics · #54E35 #54E50 #FOS: Mathematics #Logic (math.LO) #Primary 54H15 #Secondary 54H05 #math.LO #msc:54E35 #msc:54E50 #msc:54H05 #msc:54H15

paper · pdf · doi:10.48550/arxiv.1602.06433

arxiv created 2016/12/04 · arxiv updated 2016/12/06

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.

Cited by

• On Γ-embeddings and partial actions of function spaces

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• Borel Globalizations of Partial Actions of Polish Groups
• Global and local boundedness of Polish groups
• A universal Polish G-space
• The open mapping principle for partial actions of polish groups
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