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Pettis automatic continuity for Baire-to-separable topological groups

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

Palomar Registrypalomar/PALOMAR-2026-10-28-000027Oct 28, 2026math.GNscore 0

A homomorphism from a Baire topological group to a separable topological group is continuous if every open inverse image has the property of Baire. The neighborhood lemma for nonmeagre BP sets and the countable right-translate cover are proved internally. No separation, source-Polish, injectivity or surjectivity hypothesis.

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