Concept information
Preferred term
Borel conjecture
Definition(s)
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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)
Broader concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-K1P2L7PQ-5
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