On the Lusternik-Schnirelmann category of a simplicial map

DOI10.1016/j.topol.2016.11.015zbMath1357.55001arXiv1606.01205OpenAlexW2963396106MaRDI QIDQ729837

Willie Swei, Nicholas A. Scoville

Publication date: 22 December 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01205

zbMATH Keywords

order complexcontiguitycategory weightfinite spacescategory of a mapsimplicial Lusternik Schnirelmann categorystrong homotopy type

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Simplicial sets and complexes in algebraic topology (55U10) Ordered topological structures (06F30) Abstract complexes in algebraic topology (55U05)

Related Items (7)

Contiguity distance between simplicial maps ⋮ Discrete topological complexity ⋮ Simplicial fibrations ⋮ Homotopic distance between functors ⋮ Lusternik–Schnirelmann category of relation matrices on finite spaces and simplicial complexes ⋮ Strong discrete Morse theory and simplicial L-S category: a discrete version of the Lusternik-Schnirelmann theorem ⋮ Digital Lusternik-Schnirelmann category of digital functions

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• A note on fibrations and category
• Finite Topological Spaces
• The category of a map and of a cohomology class
• Combinatorial algebraic topology

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