Problems From the Bizerte-Sfax-Tunis Seminar

This chapter discusses problems from the Bizerte-Sfax-Tunis seminar. This seminar is organized by two Tunisian research groups "Algebra and Topology 03/UR/03-15" and "Dynamical Systems and Combinatorics 99/UR/15-15." Three meetings are held each academic year in one of the Faculties of Sciences of Bizerte, Sfax, or Tunis. The seminar has been founded, firstly, by Professor Ezzeddine Salhi since 1996 and has been called Bizerte-Sfax Meeting. In March 2001, Othman Echi got the position of Professor at Faculty of Sciences of Tunis; and so Bizerte, Sfax, and Tunis share the seminar. The goal of this seminar is to shed light on the latest results obtained by the members of the two groups (in the areas of algebra, algebraic topology, combinatorics, complex analysis, dynamical systems, foliation theory, topology). It is worth noting that three members of the above two research groups have discovered an interesting link between foliation theory and spectral topology. This chapter deals with eight problems in topology that are proposed by the seminar. These problems concern spectral spaces and some related topics; the space of leaves of a foliation; dynamics of groups of homeomorphisms and vector fields on surfaces.