[EN] A new class of functions called 'pseudo perfectly continuous' functions is introduced. Their place in the hierarchy of variants of continuity which already exist in the literature is highlighted. The interplay between ...
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 ...
Qahis, Abdo; Noorani, Mohd. Salmi Md.(Universitat Politècnica de València, 2013-04-01)
[EN] In this paper, we introduce a new class of path-confluent mapping, called strongly path-confluent maps. We discuss and study some characterizations and some basic properties of this class of mappings. Relations between ...
Esty, Norah(Universitat Politècnica de València, 2013-04-01)
[EN] In this paper we consider the hyperspace Cn(X) of non-empty and closed subsets of a base space X with up to n connected components. The class of base spaces we consider we call finite ray-graphs, and are a noncompact ...
Capraro, Valerio(Universitat Politècnica de València, 2013-04-01)
[EN] We propose a notion of continuous path for locally finite metric spaces, taking inspiration from the recent development of A-theory for locally finite connected graphs. We use this notion of continuity to derive an ...