Published online by Cambridge University Press: 22 February 2021
We show that well-known invariants like 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.
Partially supported by MINECO Spain research project MTM2016-78647-P and by Xunta de Galicia ED431C 2019/10 with FEDER funds.
Partially supported by Ministerio de Ciencia, Innovación y Universidades, grant FPU17/03443.