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math.LO2020★ 3 cited
Non-Archimedean TSI Polish groups and their potential Borel complexity spectrum
Shaun Allison
A variation of the Scott analysis of countable structures is applied to actions of non-Archimedean TSI Polish groups acting continuously on a Polish spaces. We give results on the…
math.LO2020
Dynamical obstructions to classification by (co)homology and other TSI-group invariants
Shaun Allison, Aristotelis Panagiotopoulos
In the spirit of Hjorth's turbulence theory, we introduce "unbalancedness": a new dynamical obstruction to classifying orbit equivalence relations by actions of Polish groups which…