Galois connections and the Leray spectral sequence

DOI10.1016/0001-8708(77)90073-1zbMath0362.06008OpenAlexW2046371899MaRDI QIDQ1239749

Kenneth Baclawski

Publication date: 1977

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(77)90073-1

Mathematics Subject Classification ID

Partial orders, general (06A06) Spectral sequences, hypercohomology (18G40) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (21)

GALOIS CONNECTIONS AND CHARACTERIZATION THEOREM FOR DISPERSED, HEREDITARILY DISPERSED, AND HEREDITARY FACTORIZATION STRUCTURES ⋮ Sheaf and Duality Methods for Analyzing Multi-Model Systems ⋮ Homotopy type of posets and lattice complementation ⋮ A combinatorial proof of a fixed point property ⋮ Cohen-Macaulay ordered sets ⋮ Fixed points and complements in finite lattices ⋮ Homotopy type and Euler characteristic of partially ordered sets ⋮ On the number of faces of simplicial complexes and the purity of Frobenius ⋮ Linear representations of posets, their cohomology and a bilinear form ⋮ Some homological properties of partially ordered sets ⋮ Lusternik–Schnirelmann category of relation matrices on finite spaces and simplicial complexes ⋮ Fixed points in partially ordered sets ⋮ Spectral sequences on combinatorial simplicial complexes ⋮ Lattice complements and the subadditivity of syzygies of simplicial forests ⋮ The Möbius algebra as a Grothendieck ring ⋮ Algorithms for the fixed point property ⋮ Cohen-Macaulay connectivity and geometric lattices ⋮ Well ordered covers, simplicial bouquets, and subadditivity of Betti numbers of square-free monomial ideals ⋮ A homotopy complementation formula for partially ordered sets ⋮ Isotone relations and the fixed point property for posets ⋮ Breaking up simplicial homology and subadditivity of syzygies

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• Galois Connexions
• Closure Operators and Galois Theory in Lattices
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