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The class and dynamics of $\alpha$-balanced Polish groups

math.LO · 2024-06-10 · unverdicted · novelty 8.0

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 math.LO · 2024-06-10 · unverdicted · none · ref 20

    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.