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math.AT2023
An upper bound for the rational topological complexity of a family of elliptic spaces
Said Hamoun, Youssef Rami, Lucile Vandembroucq
In this work, we show that, for any simply-connected elliptic space admitting a pure minimal Sullivan model with a differential of constant length, we have ${\rm TC}_0(S)\leq 2…
math.AT2022★ 2 cited
On the rational topological complexity of coformal elliptic spaces
Said Hamoun, Youssef Rami, Lucile Vandembroucq
We establish some upper and lower bounds of the rational topological complexity for certain classes of elliptic spaces. Our techniques permit us in particular to show that the rati…
math.AT2016★ 1 cited
On Spaces of Topological Complexity Two
A. Boudjaj, Y. Rami
In this paper we consider the classification of minimal cellular structures of spaces of topological complexity two under some hypotheses on there graded cohomological algebra. Thi…