2022/05/08 by Azzeddine Boudjaj, Boudjaj, Azzeddine, Youssef Ramı +1
Mathematics · #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #Advanced Differential Equations and Dynamical Systems
paper · pdf · doi:10.48550/arxiv.2205.03973
In this paper, we establish the rationality conjecture raised in \citeFKS for any (r-1)-connected (r≥ 2) kr-dimensional CW-complex X (k≥ 2) having a unique spherical cohomology class u∈ Hr(X, ℤ) such that uk\not =0. %which is nilpotent with order of nilpotency equal to k+1. Next, we illustrate (topologically) our result by giving the minimal cell structure of such a CW-complex whose cohomology is a truncated polynomial algebra.