Zobrazeno 1 - 10
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pro vyhledávání: '"Rami, Youssef"'
Autor:
Benzaki, Smail, Rami, Youssef
In this paper, we first prove the existence of relative free models of morphisms (resp. relative commutative models) in the category of $DGA(R)$ (resp. $CDGA(R)$), where $R$ is a principal ideal domain containing $\frac{1}{2}$. Next, we restrict to t
Externí odkaz:
http://arxiv.org/abs/2405.13257
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 ${\rm TC}_0(S)\leq 2{\rm cat}_0(S)+\chi_{\pi}(S)$ where $\chi_{\pi}(S)$ is the homotopy ch
Externí odkaz:
http://arxiv.org/abs/2310.00449
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 ration
Externí odkaz:
http://arxiv.org/abs/2207.00839
Autor:
Boudjaj, Azzeddine, Rami, Youssef
In this paper, we establish the rationality conjecture raised in \cite{FKS} for any $(r-1)$-connected ($r\geq 2$) $kr$-dimensional CW-complex $X$ ($k\geq 2$) having a unique spherical cohomology class $u\in \tilde{H}^r(X, \mathbb{Z})$ such that $u^k\
Externí odkaz:
http://arxiv.org/abs/2205.03973
Autor:
Benzaki, Smail, Rami, Youssef
In this paper, using Sullivan's approach to rational homotopy theory of simply-connected finite type CW complexes, we endow the $\mathbb{Q}$-vector space $\mathcal{E}xt_{C^{\ast}(X;\mathbb{Q})}(\mathbb{Q},C^{\ast}(X;\mathbb{Q}))$ with a graded commut
Externí odkaz:
http://arxiv.org/abs/2203.10588
Autor:
Rami, Youssef
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.
Comment: 19 pages, article
Comment: 19 pages, article
Externí odkaz:
http://arxiv.org/abs/1912.09050
Autor:
Rami, Youssef, Derfoufi, Younes
In this paper, we associate to two given continuous maps $f,g: X\rightarrow Z$, on a path connected space $X$, the relative topological complexity $TC^{(f, g, Z)}(X):=TC_X(X\times _ZX)$ of their fiber space $X\times _ZX$. When $g=f$ we obtain a varia
Externí odkaz:
http://arxiv.org/abs/1809.10174
Publikováno v:
Applied Neuropsychology: Adult; Sep/Oct2024, Vol. 31 Issue 5, p923-931, 9p
Autor:
Rami, Youssef
In his study of Halperin's toral-rank conjecture, M. R. Hilali conjectured that for any simply connected rationally elliptic space $X$, one must have $dim\pi_*(X)\otimes \mathbb{Q} \leq dimH^*(X,\mathbb{Q})$. Let $(\Lambda V, d)$ denote a Sullivan mi
Externí odkaz:
http://arxiv.org/abs/1502.04200
Publikováno v:
Applied Neuropsychology: Adult; Jul/Aug2024, Vol. 31 Issue 4, p595-600, 6p