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- W2907355329 abstract "We prove that for every finite-dimensional compact metric space <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper X> <mml:semantics> <mml:mi>X</mml:mi> <mml:annotation encoding=application/x-tex>X</mml:annotation> </mml:semantics> </mml:math> </inline-formula> there is an open continuous linear surjection from <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C Subscript p Baseline left-bracket 0 comma 1 right-bracket> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>C</mml:mi> <mml:mi>p</mml:mi> </mml:msub> <mml:mo stretchy=false>[</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy=false>]</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>C_p[0,1]</mml:annotation> </mml:semantics> </mml:math> </inline-formula> onto <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C Subscript p Baseline left-parenthesis upper X right-parenthesis> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>C</mml:mi> <mml:mi>p</mml:mi> </mml:msub> <mml:mo stretchy=false>(</mml:mo> <mml:mi>X</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>C_p(X)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. The proof makes use of embeddings introduced by Kolmogorov and Sternfeld in connection with Hilbert’s 13th problem." @default.
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- W2907355329 date "2010-12-20" @default.
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- W2907355329 title "A property of 𝐶_{𝑝}[0,1]" @default.
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- W2907355329 doi "https://doi.org/10.1090/s0002-9947-2010-05052-4" @default.
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