Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 293
Some notes on a conjecture of Yamaguchi and Yokura
Abdelhadi Zaim, Saloua Chouingou, Mohamed Anas Hilali, Mohamed Rachid Hilali
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 29, 2022
March 03, 2255
April 15, 2255

Abstract: Let $f:X\rightarrow Y$ be a map of rationally elliptic CW-complexes. Let denote by Ker $\pi_{\ast}\left( f\right) \otimes \mathbb{Q} =$ Ker $\left\{ \pi_{i}\left( f\right) \otimes \mathbb{Q} :\pi_{i}\left( X\right) \otimes \mathbb{Q} \rightarrow\pi_{i}\left( Y\right) \otimes \mathbb{Q} \right\} $ and similarly Ker $H_{\ast}\left( f\right) \otimes \mathbb{Q} =$ Ker $\left\{ H_{i}\left( f\right) \otimes \mathbb{Q} :H_{i}\left( X;\mathbb{Q} \right) \rightarrow H_{i}\left( Y;\mathbb{Q} \right) \right\} .$ Recently and motivated by Hilali conjecture (ref), T. ...