Ali Baklouti

Ali Baklouti

Professor of Mathematics, Faculty of Sciences of Sfax

Ali Baklouti is a Full Professor of Mathematics at the University of Sfax, Tunisia. He earned his Ph.D. in Mathematics from the University of Metz, France, in 1995. He served as Vice-President of the University of Sfax from December 2020 to July 2024 and held the position of President of the Tunisian Mathematical Society for two consecutive terms (April 2016–March 2019 and April 2019–March 2022). Since January 2012, he has been the Deputy Director of the Mediterranean Institute of Mathematical Sciences, an institution he co-founded that same year. In December 2016, he was elected as a permanent member of the Tunisian Academy of Sciences, Letters, and Arts.

Professor Baklouti has received numerous prestigious awards, including the AMU-PaCOM 2022 Award and Medal, Category A in Mathematics, and the Royal Society Africa Prize 2024. In the same year, he was also honored with the Order of Merit for Education and Teaching by the President of Tunisia.

He currently serves as Co-Editor-in-Chief of the Tunisian Journal of Mathematics (published by MSP, USA) and as Editor-in-Chief of Advances in Pure and Applied Mathematics (published by ISTE, UK). Additionally, he is a member of the editorial boards of other several journals, including the Graduate Journal of Mathematics (MIMS), and the Arabian Journal of Mathematics (Springer).

ali.baklouti@usf.tn
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A Note on The Open Mappings of Locally Compact Groups (PART II)

Zouhour Jlali

Name :

Zouhour Jlali

Title :

A Note on The Open Mappings of Locally Compact Groups

Position :

Post-doc at FSS (Sfax)

Date :

May 07, 2025

Abstract

Let G be a locally compact topological group, L (G) the space of all its closed subgroups endowed with the Vietoris topology. Let L_c (G) be the subspace of all compact subgroups of G. Any continuous morphism ϕ: G → H between locally compact groups G and H functorially induces continuous maps ϕ_∗ : L_c (G) → L_c (H) given by ϕ_∗(L) = ϕ(L). The main problem in this paper is that of determining the relationship between the openness of ϕ and the openness of ϕ_∗. For example we show that if G is locally compact with compact identity component and H is locally compact totally disconnected then ϕ is open if and only if ϕ_∗ is open.