General lexicographic shellability and orbit arrangements

DOI10.1007/BF02558464zbMath0943.52004OpenAlexW1971143411MaRDI QIDQ1293444

Dmitry N. Kozlov

Publication date: 6 September 2000

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02558464

zbMATH Keywords

labelingMöbius functionposethomology groupsshellabilityhyperplane arrangementsubspace arrangementintersection latticenumber partition\(k\)-equal arrangement

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Algebraic aspects of posets (06A11)

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The topology of restricted partition posets ⋮ Rational homology of spaces of complex monic polynomials with multiple roots ⋮ Subspace arrangements over finite fields: Cohomological and enumerative aspects ⋮ Discrete Morse functions from lexicographic orders ⋮ Level Eulerian posets. ⋮ Results on the regularity of square-free monomial ideals ⋮ Chains of modular elements and shellability ⋮ Lexicographic shellability for balanced complexes ⋮ Shellability of the higher pinched Veronese posets ⋮ Shellability of face posets of electrical networks and the CW poset property ⋮ Spectral sequences on combinatorial simplicial complexes ⋮ Cohomology of generalized configuration spaces ⋮ Shellings and Sheddings Induced by Collapses ⋮ A class of hypergraph arrangements with shellable intersection lattice ⋮ Homotopy of non-modular partitions and the Whitehouse module ⋮ Simplicial shellable spheres via combinatorial blowups ⋮ A partitioning and related properties for the quotient complex \(\Delta(B _{lm})/S_{l }S_m\) ⋮ Quotient complexes and lexicographic shellability

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