Proper topological complexity
DOI:
https://doi.org/10.12775/TMNA.2025.010Słowa kluczowe
Proper homotopy, exterior homotopy, proper Lusternik-Schnirelmann category, proper topological complexityAbstrakt
We introduce and study the proper topological complexity of a given configuration space, a version of the classical invariant for which we require that the algorithm controlling the motion is able to avoid any possible choice of ``unsafe'' area. To make it a homotopy functorial invariant we characterize it as a particular instance of the exterior sectional category of an exterior map, an invariant of the exterior homotopy category which is also deeply analyzed.Bibliografia
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Prawa autorskie (c) 2025 José Manuel García-Calcines, Aniceto Murillo
Utwór dostępny jest na licencji Creative Commons Uznanie autorstwa – Bez utworów zależnych 4.0 Międzynarodowe.
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