Homotopic distance between functors

DOI10.1007/s40062-020-00269-xzbMath1462.55009arXiv1902.06322OpenAlexW3092957121MaRDI QIDQ2228315

Enrique Macias-Virgós, David Mosquera-Lois

Publication date: 17 February 2021

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06322

zbMATH Keywords

small categoriesLusternik-Schnirelmann categoryhomotopic 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)

Related Items

Different types of topological complexity based on higher homotopic distance, Higher homotopic distance, Digital homotopic distance between digital functions

Cites Work

• Unnamed Item
• Unnamed Item
• Discrete Euler integration over functions on finite categories
• Lusternik-Schnirelmann category of simplicial complexes and finite spaces
• Homotopy theory of posets
• On the Lusternik-Schnirelmann category of a simplicial map
• On the subdivision of small categories
• Topological complexity of motion planning
• Lusternik-Schnirelmann category for categories and classifying spaces
• Simplicial Lusternik-Schnirelmann category
• Algebraic topology of finite topological spaces and applications
• Minimal networks for sensor counting problem using discrete Euler calculus
• The Euler characteristic of a category as the sum of a divergent series
• The Euler characteristic of a category
• Singular homology groups and homotopy groups of finite topological spaces
• Classifying spaces and spectral sequences
• Categorical Homotopy Theory
• Discrete topological complexity
• Higher algebraic K-theory: I
• Erratum: Homotopy for Functors
• Finite Topological Spaces
• Homotopy for Functors
• Combinatorial algebraic topology
• Complexes in Cat