On the topological complexity of maps
DOI10.1016/j.topol.2022.108094zbMath1494.55005arXiv2011.10646OpenAlexW3108717024MaRDI QIDQ2140617
Publication date: 23 May 2022
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.10646
motion planningtopological complexityLS-categoryhomotopy invariantplanner mapSchwarz genus of a fibration
Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Sectioning fiber spaces and bundles in algebraic topology (55S40)
Related Items (4)
Cites Work
- Unnamed Item
- On the Lusternik-Schnirelmann category of Peano continua
- Erratum to ``Topological complexity is a fibrewise L-S category [Topology Appl. 157, No 1, 10--21 (2010)]
- On the Lusternik-Schnirelmann category of abstract groups
- Invitation to topological robotics
- Topological complexity of motion planning
- Relative topological complexity of a pair
- Instabilities of robot motion
- A note on covers defining relative and sectional categories
- Topological complexity of a map
- Relative category and monoidal topological complexity
- Topological complexity of wedges and covering maps
- On the Lusternik-Schnirelmann Category of Maps
- On the Berstein–Svarc theorem in dimension 2
- A topologist’s view of kinematic maps and manipulation complexity
- On the topological complexity of aspherical spaces
- On topological complexity of hyperbolic groups
- Fibrations in the Category of Absolute Neighborhood Retracts
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