Open Research Index

Generic ergodicity and non-smoothness of E₀

Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

Palomar Registrypalomar/PALOMAR-2026-10-28-000032Oct 28, 2026math.LOscore 0

Eventual equality on the actual Cantor product has a BP invariant-set zero-one law. Every invariant map with BP open preimages into a second countable T0 target has a comeagre constant fiber. Consequently no such BP map, and no Borel map with explicit Borel sigma-algebras, reduces eventual equality to equality.

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