Arenas, F.G.; Sánchez Granero, M.A.(Universitat Politècnica de València, 2001-10-01)
[EN] In this paper we introduce the concept of directed fractal structure, which is a generalization of the concept of fractal structure (introduced by the authors). We study the relation with transitive quasiuniformities ...
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 ...
[EN] Following Van Douwen, a topological space is said to be nodec if it
satisfies one of the following equivalent conditions:
(i) every nowhere dense subset of X, is closed;
(ii) every nowhere dense subset of X, is ...
Reynoso Erazo, Jose Nicolas(Universitat Politècnica de València, 2023-10-20)
[ES] En el estudio de las matemáticas, la búsqueda de la generalización y la abstracción de distintos conceptos encapsulados en diferentes teorías siempre ha sido primordial para estudiarlas en la medida en que lo permite ...