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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Universitat Politècnica de València
2015-02-01
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Series: | Applied General Topology |
Subjects: | |
Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/3439 |