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arXiv · 1602.06433

Polish globalization of Polish group partial actions

Hector Pinedo·Carlos Uzcategui
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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.

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Hector Pinedo, Carlos Uzcategui. 2016-02-20. Polish globalization of Polish group partial actions. https://arxiv.org/abs/1602.06433

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