On the cohomology of elliptic coformal spaces
Youssef Rami

TL;DR
This paper advances the understanding of the cohomology of rationally elliptic coformal spaces, completing the proof of Lupton's conjecture and deriving Hilali's conjecture, thereby contributing to algebraic topology.
Contribution
It provides a complete proof of Lupton's conjecture for elliptic coformal spaces and deduces Hilali's conjecture, advancing the theoretical framework in rational homotopy theory.
Findings
Proof of Lupton's conjecture for elliptic coformal spaces
Deduction of Hilali's conjecture from the main results
Enhanced understanding of the cohomology structure in rational homotopy theory
Abstract
In this article, we pursue the study begun in \cite{Lup02} on the cohomology of rationally elliptic coformal spaces. Consequently, we complete, for such spaces, the proof of Lupton's conjecture and deduce Hilali's.
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Taxonomy
TopicsInternational Science and Diplomacy · Space Science and Extraterrestrial Life
