Simplicial and combinatorial versions of higher symmetric topological complexity

DOI10.1016/j.topol.2023.108491OpenAlexW3150248522WikidataQ120893607 ScholiaQ120893607MaRDI QIDQ2699902

Amit Kumar Paul, Debasis Sen

Publication date: 19 April 2023

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

Full work available at URL: https://arxiv.org/abs/2104.03038

zbMATH Keywords

symmetric groupsimplicial complextopological complexityfinite space

Mathematics Subject Classification ID

General topology of complexes (57Q05) Combinatorics of partially ordered sets (06A07) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Artificial intelligence for robotics (68T40) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

• Strong homotopy types, nerves and collapses
• Higher topological complexity and its symmetrization
• Invitation to topological robotics
• Homotopy theory of finite and locally finite \(T_ 0\) spaces
• Topological complexity of motion planning
• Remarks about \(\Delta\)-complexes and applications
• A combinatorial description of topological complexity for finite spaces
• Simplicial complexity: piecewise linear motion planning in robotics
• Symmetric topological complexity for finite spaces and classifying spaces
• On higher analogs of topological complexity
• Higher analogs of simplicial and combinatorial complexity
• Finite Topological Spaces
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