Duality and finite spaces

DOI10.1007/BF00346134zbMath0699.55001OpenAlexW190335540MaRDI QIDQ913303

Juan Antonio Navarro González

Publication date: 1990

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00346134

zbMATH Keywords

finite topological spacesAbelian sheaves over polyhedraduality theory for sheaves of Abelian groups over finite spacesfinite orders

Mathematics Subject Classification ID

Partial orders, general (06A06) Sheaf cohomology in algebraic topology (55N30) Duality in algebraic topology (55M05)

Related Items (5)

Homology of sheaves via Brown representability ⋮ An algorithm of polynomial order for computing the covering dimension of a finite space ⋮ Derived categories of finite spaces and Grothendieck duality ⋮ Finite spaces: a reduction algorithm for the computation of the small inductive dimension ⋮ Homology and cohomology of finite spaces

Cites Work

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• Linear representations of posets, their cohomology and a bilinear form
• A homotopy complementation formula for partially ordered sets
• Singular homology groups and homotopy groups of finite topological spaces
• Dimension of Dense Subalgebras of C(X)
• Homologie des ensembles ordonnés et des espaces topologiques
• On a Conjecture of Andre Weil

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