On the rational topological complexity of coformal elliptic spaces
Said Hamoun, Youssef Rami, Lucile Vandembroucq

TL;DR
This paper investigates the rational topological complexity of coformal elliptic spaces, providing bounds and identifying cases where it equals the dimension of rational homotopy, advancing understanding in algebraic topology.
Contribution
It establishes bounds and exact values for the rational topological complexity of certain coformal elliptic spaces, a novel contribution in the field.
Findings
Bounds for rational topological complexity established
Equality with rational homotopy dimension shown for specific families
Techniques developed for analyzing elliptic spaces
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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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topology and Set Theory · Algebraic Geometry and Number Theory
