Lusternik-Schnirelmann category for simplicial complexes

zbMath1302.55004MaRDI QIDQ470852

Nicholas A. Scoville, Seth E. Aaronson

Publication date: 13 November 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1415023508

zbMATH Keywords

simplicial complexLusternik-Schnirelmann categorydiscrete Morse functionsimple homotopy type

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Relations of low-dimensional topology with graph theory (57M15) Abstract complexes in algebraic topology (55U05)

Related Items

Discrete topological complexity ⋮ Some remarks on PL collapsible covers of 2-dimensional polyhedra ⋮ Lusternik-Schnirelmann category for categories and classifying spaces ⋮ Simplicial fibrations ⋮ Lusternik–Schnirelmann category of relation matrices on finite spaces and simplicial complexes ⋮ Lusternik-Schnirelmann category of simplicial complexes and finite spaces ⋮ Strong discrete Morse theory and simplicial L-S category: a discrete version of the Lusternik-Schnirelmann theorem ⋮ On the Lusternik-Schnirelmann category of a simplicial map

Cites Work

• Simplicial structures in topology.
• Morse theory for cell complexes
• (Discrete) Morse theory on configuration spaces
• On the dunce hat
• Edge-Disjoint Spanning Trees of Finite Graphs
• Simplicial Spaces, Nuclei and m -Groups
• Simple Homotopy Types
• On the Lusternik-Schnirelmann category
• Morse theory and evasiveness