Contiguity distance between simplicial maps

DOI10.55730/1300-0098.3385OpenAlexW3118077543MaRDI QIDQ5888337

Mehmetcik Pamuk, Ayşe Borat, Tane Vergili

Publication date: 24 April 2023

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

Full work available at URL: https://arxiv.org/abs/2012.10627

zbMATH Keywords

topological complexityLusternik-Schnirelmann categoryhomotopic distancecontiguity distance

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) Abstract complexes in algebraic topology (55U05)

Cites Work

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• Lusternik-Schnirelmann category of simplicial complexes and finite spaces
• Strong homotopy types, nerves and collapses
• On the Lusternik-Schnirelmann category of a simplicial map
• Topological complexity of motion planning
• Simplicial Lusternik-Schnirelmann category
• Simplicial complexity: piecewise linear motion planning in robotics
• Algebraic topology of finite topological spaces and applications
• Discrete topological complexity
• Robot motion planning, weights of cohomology classes, and cohomology operations
• Homotopic distance between maps
• Combinatorial algebraic topology

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