Baire property in product spaces

We show that if a product space $\mathit\Pi$ has countable cellularity, then a dense subspace $X$ of $\mathit\Pi$ is Baire provided that all projections of $X$ to countable subproducts of $\mathit\Pi$ are Baire. It follows that if $X_i$ is a dense Baire subspace of a product of spaces having countab...

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Bibliographic Details
Main Authors: Constancio Hernández, Leonardo Rodríguez Medina, Mikhail G. Tkachenko
Format: Article
Language:English
Published: Universitat Politècnica de València 2015-02-01
Series:Applied General Topology
Subjects:
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/3439