Dridi, Lobna; Lazaar, Sami; Turki, Tarek(Universitat Politècnica de València, 2013-04-01)
[EN] Submaximal spaces and door spaces play an enigmatic role in topology. In this paper, reinforcing this role, we are concerned with reaching two main goals:
The first one is to characterize topological spaces X such ...
Dahane, Intissar; Dridi, Lobna; Lazaar, Sami(Universitat Politècnica de València, 2019-04-01)
[EN] A topological space is said to be resolvable if it is a union oftwo disjoint dense subsets. More generally it is called n-resolvable if it is a union of n pairwise disjoint dense subsets. In this paper, we characterize ...
Lazaar, Sami; Mhemdi, Abdelouaheb(Editorial Universitat Politècnica de València, 2014-04-07)
[EN] In [12], the authors give an explicit construction of the T0−ordered reflection of an ordered topological space (X, τ,≤) . All ordered topological spaces such that whose T0−ordered reflections are T1−ordered spaces ...
Haouati, Afef; Lazaar, Sami(Universitat Politècnica de València, 2015-10-01)
[EN] In [3], the author has introduced the notion of primal spaces.The present paper is devoted to shedding some light on relations between quasihomeomorphisms and primal spaces.Given a quasihomeomorphism q from X to Y , ...
Echi, Othman; Lazaar, Sami(Universitat Politècnica de València, 2009-10-01)
[EN] This paper deals with lattice-equivalence of topologica lspaces. We are concerned with two questions: the first one is when two topological spaces are lattice equivalent; the second one is what additional conditions ...
Lazaar, Sami; Nacib, Saber(Universitat Politècnica de València, 2018-10-04)
[EN] In this paper, the full subcategory Hcomp of Top whose objects are Hausdorff compact spaces is identified as the orthogonal hull of the unit interval I = [0,1]. The family of continuous maps rendered invertible by the ...