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math.AT2021★ 1 cited
Motion planning in polyhedral products of groups and a Fadell-Husseini approach to topological complexity
Jorge Aguilar-Guzmán, Jesús González
We compute the topological complexity of a polyhedral product defined in terms of an LS-logarithmic family of locally compact connected CW topological groups. The ans…
math.AT2021
Cohomology ring of tree braid groups and exterior face rings
Jesús González, Teresa Hoekstra-Mendoza
For a tree and a positive integer , let denote the -strand braid group on . We use discrete Morse theory techniques to show that the cohomology ring …