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topology > geometric topology > Borel conjecture

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Borel conjecture  

Definición

  • In mathematics, specifically geometric topology, the Borel conjecture (named for Armand Borel) asserts that an aspherical closed manifold is determined by its fundamental group, up to homeomorphism. It is a rigidity conjecture, asserting that a weak, algebraic notion of equivalence (namely, homotopy equivalence) should imply a stronger, topological notion (namely, homeomorphism).
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Borel_conjecture)

Concepto genérico

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http://data.loterre.fr/ark:/67375/PSR-K1P2L7PQ-5

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