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math.AT2023
An algorithmic discrete gradient field for non-colliding cell-like objects and the topology of pairs of points on skeleta of simplexes
Emilio J. Gonzalez, Jesus Gonzalez
For a positive integer and a finite simplicial complex , we describe an algorithmic procedure constructing a maximal discrete gradient field on Abrams' discretized…
math.AT2016★ 1 cited
The stability of the higher topological complexity of real projective spaces: an approach to their immersion dimension
Natalia Cadavid, Jesús González, Aldo Guzmán-Sáenz
The -th higher topological complexity of a space , , can be estimated from above by homotopical methods, and from below by homological methods. We give a thorough an…
math.AT2015
The higher topological complexity of subcomplexes of products of spheres---and related polyhedral product spaces
Jesús González, Bárbara Gutiérrez, Sergey Yuzvinsky
We construct "higher" motion planners for automated systems whose space of states are homotopy equivalent to a polyhedral product space , e.g. robot arms…