About: Federer–Morse theorem

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In mathematics, the Federer–Morse theorem, introduced by Federer and Morse, states that if f is a surjective continuous map from a compact metric space X to a compact metric space Y, then there is a Borel subset Z of X such that f restricted to Z is a bijection from Z to Y.Moreover, the inverse of that restriction is a Borel section of f—it is a Borel isomorphism.

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  • In mathematics, the Federer–Morse theorem, introduced by Federer and Morse, states that if f is a surjective continuous map from a compact metric space X to a compact metric space Y, then there is a Borel subset Z of X such that f restricted to Z is a bijection from Z to Y.Moreover, the inverse of that restriction is a Borel section of f—it is a Borel isomorphism. (en)
  • Federer–Morses sats är en sats inom topologi som säger att om f är en kontinuerlig transformation från ett kompakt metriskt rum X till ett kompakt metriskt rum Y finns det en Z av X så att f:s restrktion till Z är en bijektion från Z till f(X). (sv)
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  • 1060060723 (xsd:integer)
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  • Herbert Federer (en)
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  • Anthony Morse (en)
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  • Morse (en)
  • Federer (en)
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  • 1943 (xsd:integer)
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  • In mathematics, the Federer–Morse theorem, introduced by Federer and Morse, states that if f is a surjective continuous map from a compact metric space X to a compact metric space Y, then there is a Borel subset Z of X such that f restricted to Z is a bijection from Z to Y.Moreover, the inverse of that restriction is a Borel section of f—it is a Borel isomorphism. (en)
  • Federer–Morses sats är en sats inom topologi som säger att om f är en kontinuerlig transformation från ett kompakt metriskt rum X till ett kompakt metriskt rum Y finns det en Z av X så att f:s restrktion till Z är en bijektion från Z till f(X). (sv)
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  • Federer–Morse theorem (en)
  • Federer–Morses sats (sv)
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