Sharper changes in topologies

Details Sharper changes in topologies Sharper changes in topologies

1996-10-07

arxiv.org/abs/math/9610205v1

Mathematics

Logic

Scientific paper

Becker and Kechris showed that if a Polish group G acts continuously on a Polish space X, then for any invariant Borel set B we can change the topology on X so that B becomes open, the Borel structure is preserved, and the action continues to be continuous. In this brief paper a short proof is presented for their theorem. The method also gives optimal bounds in terms of minimizing the change to the original topology.

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