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Reference.org
Blumberg theorem
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the Blumberg theorem states that for any <a href="/facts/Real_function/bbNG3DnN">real function</a> f : R → R {\displaystyle f:\mathbb {R} \to \mathbb {R} } there is a <a href="/facts/Dense_set/nPT9Yxao">dense subset</a> D {\displaystyle D} of R {\displaystyle \mathbb {R} } such that the <a href="/facts/Restriction_(mathematics)/JV59DhKy">restriction</a> of f {\displaystyle f} to D {\displaystyle D} is <a href="/facts/Continuous_function/sKbl02pB">continuous</a>. It is named after its discoverer, the Russian-American mathematician Henry Blumberg. </p>