Simplicial complexity: piecewise linear motion planning in robotics

zbMath1394.55004arXiv1701.07612MaRDI QIDQ1743761

Jesús González

Publication date: 16 April 2018

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.07612

zbMATH Keywords

simplicial complexmotion planningbarycentric subdivisioncontiguous simplicial maps

Mathematics Subject Classification ID

General topology of complexes (57Q05) 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)

Related Items (10)

Contiguity distance between simplicial maps ⋮ Discrete topological complexity ⋮ Symmetric topological complexity for finite spaces and classifying spaces ⋮ Different types of topological complexity based on higher homotopic distance ⋮ Simplicial and combinatorial versions of higher symmetric topological complexity ⋮ Lusternik-Schnirelmann category for categories and classifying spaces ⋮ Lusternik–Schnirelmann category of relation matrices on finite spaces and simplicial complexes ⋮ Higher dimensional simplicial complexity ⋮ Higher analogs of simplicial and combinatorial complexity ⋮ Simplicial approximation and refinement of monoidal topological complexity

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