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A TOPOMETRIC EFFROS THEOREM
Published online by Cambridge University Press: 02 February 2023
Abstract
Given a continuous and isometric action of a Polish group G on an adequate Polish topometric space $(X,\tau ,\rho )$ and $x \in X$ , we find a necessary and sufficient condition for $\overline {Gx}^{\rho }$ to be co-meagre; we also obtain a criterion that characterizes when such a point exists. This work completes a criterion established in earlier work of the authors.
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- © The Author(s), 2023. Published by Cambridge University Press on behalf of The Association for Symbolic Logic