An upper bound for the rational topological complexity of a family of elliptic spaces

2023/09/30 by Said Hamoun, Hamoun, Said, Youssef Ramı +3
Biochemistry, Genetics and Molecular Biology · Mathematics · #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Sphingolipid Metabolism and Signaling

paper · pdf · doi:10.48550/arxiv.2310.00449

openalex publication_date 2023/09/30 · openalex created_date 2023/10/05 · openalex updated_date 2026/07/28

Abstract

In this work, we show that, for any simply-connected elliptic space S admitting a pure minimal Sullivan model with a differential of constant length, we have \rm TC₀(S)≤ 2\rm cat₀(S)+χ_π(S) where χ_π(S) is the homotopy characteristic. This is a consequence of a structure theorem for this type of models, which is actually our main result.

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