Local properties of simplicial complexes

DOI10.1186/1687-1812-2012-11zbMath1320.55016OpenAlexW2142934039WikidataQ59271415 ScholiaQ59271415MaRDI QIDQ367421

Adam Idzik, Anna Zapart

Publication date: 16 September 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-11

zbMATH Keywords

collapsibilitycontractibilityrecursive contractibilityretractability

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10)

Cites Work

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• Fixed simplex property for retractable complexes
• The Kakutani property and the fixed point property of topological spaces with abstract convexity
• d-collapsing and nerves of families of convex sets
• Computational homology
• Algorithmic graph theory and perfect graphs
• Local Computations on Triangular Graphs
• Fixed-edge theorem for graphs with loops

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