Shellability and homology of \(q\)-complexes and \(q\)-matroids

DOI10.1007/s10801-022-01150-1zbMath1500.05062arXiv2102.13102OpenAlexW3132103659MaRDI QIDQ2084701

Rakhi Pratihar, Sudhir R. Ghorpade, Tovohery Hajatiana Randrianarisoa

Publication date: 18 October 2022

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

Full work available at URL: https://arxiv.org/abs/2102.13102

zbMATH Keywords

homologymatroidshellabilityrank metric code\(q\)-matroid\(q\)-complex

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of matroids and geometric lattices (05B35) Shellability for polytopes and polyhedra (52B22) Homology and cohomology theories in algebraic topology (55N99) Combinatorial aspects of simplicial complexes (05E45)

Related Items (2)

Some matroids related to sum-rank metric codes ⋮ The direct sum of \(q\)-matroids

Cites Work

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• Homotopy theory of posets
• Wei-type duality theorems for rank metric codes
• Defining the \(q\)-analogue of a matroid
• Combinatorics and commutative algebra.
• Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids
• Codes with the rank metric and matroids
• Rank-metric codes and \(q\)-polymatroids
• A polymatroid approach to generalized weights of rank metric codes
• Algebraic topology of finite topological spaces and applications
• Singular homology groups and homotopy groups of finite topological spaces
• Rank-metric codes
• Finite Topological Spaces
• Theory of Matroids

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