Wilczynski, Wladyslaw(Universitat Politècnica de València, 2003-10-01)
[EN] We shall show that the space of all approximately continuous functions with the topology of pointwise convergence is not homeomorphic to its category analogue.
Iliadis, Stavros(Universitat Politècnica de València, 2003-10-01)
[EN] Subjects of this paper are: (a) containing spaces constructed in [2] for an indexed collection S of subsets, (b) classes consisting of ordered pairs (Q,X), where Q is a subset of a space X, which are called classes ...
Lowen, R.; Sioen, M.(Universitat Politècnica de València, 2003-10-01)
[EN] It is our aim in this note to take a closer look at some separation axioms in the construct AP of approach spaces and contractions. Whereas lower separation axioms seem to be qualitative, the higher ones seem to have ...
Georgiou, D.N.; Iliadis, S.D.; Papadopoulos, B.K.(Universitat Politècnica de València, 2003-10-01)
[EN] In some results concerning S-splitting, S-jointly continuous, D-splitting and D-jointly continuous topologies are considered, where S and D are the Sierpinski space and the double-point space, respectively. Here we ...
Di Maio, Giuseppe; Meccariello, Enrico; Naimpally, Somashekhar(Universitat Politècnica de València, 2003-10-01)
[EN] In this paper we study function space topologies on closed multifunctions, i.e. closed relations on X x Y using various hypertopologies. The hypertopologies are in essence, graph topologies i.e topologies on functions ...