Homotopic distance between maps
Algebraic Topology
2019-07-24 v3
Abstract
We show that both Lusternik-Schnirelmann category and topological complexity are particular cases of a more general notion, that we call homotopic distance between two maps. As a consequence, several properties of those invariants can be proved in a unified way and new results arise.
Cite
@article{arxiv.1810.12591,
title = {Homotopic distance between maps},
author = {E. Macías-Virgós and D. Mosquera-Lois},
journal= {arXiv preprint arXiv:1810.12591},
year = {2019}
}
Comments
25 pages v3: We included two new examples