On the rational topological complexity of coformal elliptic spaces

2022/07/02 by Said Hamoun, Hamoun, Said, Youssef Ramı +3
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2207.00839

Abstract

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 rational topological complexity coincides with the dimension of the rational homotopy for some special families of coformal elliptic spaces.

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