Fixed points of group actions on link collapsible simplicial complexes

DOI10.1016/j.jcta.2021.105562OpenAlexW3213672110MaRDI QIDQ2068606

Bernd S. W. Schröder, Michał J. Kukieła

Publication date: 20 January 2022

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2021.105562

zbMATH Keywords

fixed pointretractionsimplicial complexgroup actioncontractibleevasiveness conjecturefixed simplexlink collapsibleretractable vertex

Mathematics Subject Classification ID

Topological transformation groups (57Sxx) PL-topology (57Qxx) Ordered sets (06Axx)

Cites Work

• A combinatorial proof of a fixed point property
• Realisation and dismantlability
• Strong homotopy types, nerves and collapses
• Group actions on finite acyclic simplicial complexes
• Fixed points of zircon automorphisms
• A topological approach to evasiveness
• Fixed-point sets of group actions on finite acyclic complexes
• A fixed point theorem for finite partially orderes sets
• The fixed point property for small sets
• Some remarks on finite 1-acyclic and collapsible complexes
• Fixed point property for 11-element sets
• Dimension two, fixed points and dismantlable ordered sets
• Subdivisions, Shellability, and collapsibility of products
• Algebraic topology of finite topological spaces and applications
• The insufficiency of barycentric subdivision
• A lattice-theoretical fixpoint theorem and its applications
• Ordered Sets
• Retracts and the Fixed Point Problem for Finite Partially Ordered Sets
• Fixed points in partially ordered sets
• Combinatorial algebraic topology
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