Search results for "Sheaf cohomology"

showing 2 items of 2 documents

The associated sheaf functor theorem in algebraic set theory

2008

We prove a version of the associated sheaf functor theorem in Algebraic Set Theory. The proof is established working within a Heyting pretopos equipped with a system of small maps satisfying the axioms originally introduced by Joyal and Moerdijk. This result improves oil the existing developments by avoiding the assumption of additional axioms for small maps and the use of collection sites.

Sheaf cohomologyFunctorDirect image functorLogicInvertible sheafIdeal sheafAlgebraMathematics::LogicDerived algebraic geometryMathematics::Category TheorySheafAlgebraic set theory presheaves sheavesInverse image functorMathematics
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Hochschild Cohomology Theories in White Noise Analysis

2008

We show that the continuous Hochschild cohomology and the differential Hochschild cohomology of the Hida test algebra endowed with the normalized Wick product are the same.

Sheaf cohomologyPure mathematicswhite noise analysisGroup cohomologyMathematics::Number TheoryFOS: Physical sciencesMathematics::Algebraic TopologyHochschild cohomologyGeneral Relativity and Quantum CosmologyCup productMathematics::K-Theory and HomologyMathematics::Quantum AlgebraMathematics - Quantum AlgebraFOS: MathematicsDe Rham cohomologyQuantum Algebra (math.QA)Equivariant cohomologyWick productČech cohomologyMathematical PhysicsMathematicslcsh:MathematicsMathematical Physics (math-ph)lcsh:QA1-939CohomologyGeometry and TopologyAnalysis
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