Polish globalization of Polish group partial actions.

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 <italic>G</italic> on X. If <italic>G</italic> 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. [ABSTRACT FROM AUTHOR]