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#blumberg_theorem

Blumberg theorem

Any real function on R admits a continuous restriction on a dense subset of R

In mathematics, the Blumberg theorem states that for any real function there is a dense subset of such that the restriction of to is continuous. It is named after its discoverer, the Russian-American mathematician Henry Blumberg.

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Blumberg theorem Blumberg (surname) Tietze extension theorem Baire space Dirichlet function Thomae's function Dense set Nowhere continuous function Continuous function Densely defined operator
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