Local operations and eventually open actions

Details Local operations and eventually open actions Local operations and eventually open actions

2010-03-16

arxiv.org/abs/1003.3258v1

Mathematics

Logic

24 pages

Scientific paper

We study continuous actions of Polish groups on Polish spaces. We develop
Scott analysis introduced by Hjorth for studying orbit equivalence relations.
We define eventually open actions and prove that this property characterizes
the actions endowed with a complete system of hereditarily countable invariant
structures.

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