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Homotopic distance between maps

Published online by Cambridge University Press:  22 February 2021

E. MACÍAS–VIRGÓS
Affiliation:
Institute of Mathematics, University of Santiago de Compostela, Avda. Lope Gómez de Marzoa s/n. Campus Sur, Santiago de Compostela, 15782Spain. e-mails: [email protected], [email protected]
D. MOSQUERA–LOIS
Affiliation:
Institute of Mathematics, University of Santiago de Compostela, Avda. Lope Gómez de Marzoa s/n. Campus Sur, Santiago de Compostela, 15782Spain. e-mails: [email protected], [email protected]

Abstract

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.

Type
Research Article
Copyright
© The Author(s), 2021. Published by Cambridge University Press on behalf of Cambridge Philosophical Society

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Footnotes

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.

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