Simplicial shellable spheres via combinatorial blowups

DOI10.1090/S0002-9939-07-08768-0zbMath1117.06003arXivmath/0602101OpenAlexW2594486656MaRDI QIDQ3438105

Sonja Lj. Čukić, Emanuele Delucchi

Publication date: 15 May 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602101

zbMATH Keywords

posetslatticesbuilding setsshellabilitynested setsBier latticesBier posetscombinatorial blowupssimplicial shellable spheres

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Simplicial sets and complexes in algebraic topology (55U10) Shellability for polytopes and polyhedra (52B22)

Related Items (9)

Generalized chessboard complexes and discrete Morse theory ⋮ Bier spheres of extremal volume and generalized permutohedra ⋮ Subdivisions, Shellability, and collapsibility of products ⋮ On stretching the interval simplex-permutohedron ⋮ Nested set complexes for posets and the Bier construction ⋮ Nested set complexes of Dowling lattices and complexes of Dowling trees ⋮ Hypergraph polytopes ⋮ Polytopal Bier spheres and Kantorovich-Rubinstein polytopes of weighted cycles ⋮ Alexander r-tuples and bier complexes

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