Baire Characterisation Theorem
From ProofWiki
Theorem
A real-valued function $f$ defined on a Banach space $X$ is a Baire-1 function iff:
- For every non-empty closed subset $K$ of $X$, the restriction of $f$ to $K$ has a point of continuity relative to the topology of $K$.
Proof
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Source of Name
This entry was named for René-Louis Baire.
