Defines α-balanced Polish groups stratifying TSI and CLI, establishes closure properties and coanalytic rank, and constructs actions with strong generic ergodicity against lower levels via generic α-unbalancedness.
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The class and dynamics of $\alpha$-balanced Polish groups
Defines α-balanced Polish groups stratifying TSI and CLI, establishes closure properties and coanalytic rank, and constructs actions with strong generic ergodicity against lower levels via generic α-unbalancedness.