= Universally Baire set
{wiki=Universally_Baire_set}
In the context of set theory and descriptive set theory, a **Universally Baire set** is a type of subset of a Polish space (a separable completely metrizable topological space) that has certain properties concerning measure and category. Here's a more precise description: 1. **Baire Space**: A topological space is a Baire space if the intersection of countably many dense open sets is dense. This property is significant in various areas of analysis and topology.
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