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 ...