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Baire-measurable regularization on comeagre G-delta subspaces

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

Palomar Registrypalomar/PALOMAR-2026-10-28-000029Oct 28, 2026math.GNscore 0

For any topological source and second countable target, open inverse images have the property of Baire exactly when the function restricts continuously to some comeagre G-delta subspace. A Baire-source corollary also proves density. The countable basis synchronization and converse relative-open argument are proved internally.

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