Quotient complexes and lexicographic shellability
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Publication:1862992
DOI10.1023/A:1020886515443zbMath1033.52017MaRDI QIDQ1862992
Publication date: 11 March 2003
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
discrete Morse theoryintersection latticelexicographic shellabilityquotient complexarrangement of reflecting hyperplanes of a Coxeter groupcell complex of Boolean type
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Related Items (4)
Lexicographic shellability for balanced complexes ⋮ Homotopy type of skeleta of the flag complex over a finite vector space and generalized Galois numbers ⋮ A partitioning and related properties for the quotient complex \(\Delta(B _{lm})/S_{l }S_m\) ⋮ On optimizing discrete Morse functions
Cites Work
- Posets, regular CW complexes and Bruhat order
- f-vectors and h-vectors of simplicial posets
- Signed graphs
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- Free resolutions of simplicial posets
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- Lexicographic shellability for balanced complexes
- Group actions on posets
- Subspace arrangements of type \(B_ n\) and \(D_ n\)
- On discrete Morse functions and combinatorial decompositions
- Group actions on Stanley-Reisner rings and invariants of permutation groups
- Shellable and Cohen-Macaulay Partially Ordered Sets
- Quotients of Coxeter complexes and 𝑃-partitions
- Shellable nonpure complexes and posets. II
- Rational homology of spaces of complex monic polynomials with multiple roots
- Shellable Nonpure Complexes and Posets. I
- Collapsibility of Δ(Π_{𝑛})/𝒮_{𝓃} and some related CW complexes
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