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Definition of "cohomology" []

  • A theory associating a system of quotient groups to each topological space. (noun)
  • A system of quotient groups associated to a topological space. (noun)

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Use "cohomology" in a sentence
  • "Section 33.9 is six pages of Penrose trying to explain "sheaf cohomology" whose ideas "… are fairly sophisticated mathematically, but actually very natural.""
  • "Section 33.10 explains how positive/negative frequency splitting along with "holomorphic first sheaf cohomology" plays "a direct role in generating deformations of twistor space.""
  • "This then leads us into some very rich theory of the algebraic topology of the Dirac operator and something called quantum cohomology."
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