1 citations · 2 across the 3 of their papers we have counts for
4 papers
Homotopic distance and generalized motion planning
E. Macías-Virgós, D. Mosquera-Lois, M. J. Pereira-Sáez
We prove that the homotopic distance between two maps defined on a manifold is bounded above by the sum of their subspace distances on the critical submanifol of any Morse-Bott fun…
Morse-Bott Theory on posets and an homological Lusternik-Schnirelmann Theorem
D. Fernández-Ternero, E. Macías-Virgós, D. Mosquera-Lois +1
We develop Morse-Bott theory on posets, generalizing both discrete Morse-Bott theory for regular complexes and Morse theory on posets. Moreover, we prove a Lusternik-Schnirelmann t…
Homotopic distance between functors
E. Macías-Virgós, D. Mosquera-Lois
We introduce a notion of categorical homotopic distance between functors by adapting the notion of homotopic distance in topological spaces, recently defined by the authors to the…
Homotopic distance between maps
E. Macías-Virgós, D. Mosquera-Lois
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 c…