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A TOPOMETRIC EFFROS THEOREM
- Part of
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- Journal:
- The Journal of Symbolic Logic , First View
- Published online by Cambridge University Press:
- 02 February 2023, pp. 1-11
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- Article
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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.
