# Definition:Baire Space

## Disambiguation

This page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.

**Baire Space** may refer to:

- A Baire Space (Topology): A topological space such that the intersection of each countable collection of open subsets which are everywhere dense is also everywhere dense.
- The Baire Space (Set Theory): The set of all infinite sequences of natural numbers.