About: (Co)homology theory

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Attributs	Valeurs
type	Concept
rdfs:seeAlso	Homological methods
skos:inScheme	MSC 2010
broader concept	Algebraic geometry
narrower concept	Sheaves, derived categories of sheaves and related constructions Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Vanishing theorems Multiplier ideals Ãtale and other Grothendieck topologies and (co)homologies Brauer groups of schemes Classical real and complex (co)homology <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ p$"><mml:mi>p</mml:mi></mml:math>-adic cohomology, crystalline cohomology Homotopy theory; fundamental groups de Rham cohomology Motivic cohomology; motivic homotopy theory Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) Topological properties None of the above, but in MSC2010 section 14Fxx
skos:prefLabel	(Co)homology theory (上)同调理论 Teoria della omologia e della coomologia
skos:exactMatch	http://msc2010.org/resources/MSC/2000/14Fxx
skos:altLabel	Teoria della omologia e della coomologia [Vedi anche 13Dxx] (Co)homology theory [See also 13Dxx] (上)同调理论[参见13Dxx]
http://msc2010.org...0/msc2010#seeAlso	Homological methods
skos:closeMatch	from MSC1991 value of: (Co)homology theory, [See also 13Dxx]
skos:notation	14Fxx
skos:note	See also 13Dxx.
skos:semanticRelation	Homological methods
is rdfs:seeAlso of	Relations with cohomology theories Analytic sheaves and cohomology groups de Rham theory Hodge theory
is broader concept of	Sheaves, derived categories of sheaves and related constructions Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Vanishing theorems Multiplier ideals Ãtale and other Grothendieck topologies and (co)homologies Brauer groups of schemes Classical real and complex (co)homology <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ p$"><mml:mi>p</mml:mi></mml:math>-adic cohomology, crystalline cohomology Homotopy theory; fundamental groups de Rham cohomology Motivic cohomology; motivic homotopy theory Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) Topological properties None of the above, but in MSC2010 section 14Fxx
is narrower concept of	Algebraic geometry
is http://msc2010.org...0/msc2010#seeAlso of	Relations with cohomology theories Analytic sheaves and cohomology groups de Rham theory Hodge theory
is skos:semanticRelation of	Relations with cohomology theories Analytic sheaves and cohomology groups de Rham theory Hodge theory

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