Garrido, Isabel; Meroño, Ana S.(Universitat Politècnica de València, 2016-04-12)
[EN] The class of metric spaces (X,d) known as small-determined spaces, introduced by Garrido and Jaramillo, are properly defined by means of some type of real-valued Lipschitz functions on X. On the other hand, B-simple ...
Bonanzinga, Maddalena; Cuzzupè, Maria Vittoria(Universitat Politècnica de València, 2016-04-12)
[EN] In [A.V. Arhangel'skii and J. van Mill, On topological groups with a first-countable remainder, Top. Proc. 42 (2013), 157-163] it is proved that the character of a non-locally compact topological group with a first ...
Bosi, Gianni; Caterino, Alessandro; Ceppitelli, Rita(Universitat Politècnica de València, 2016-04-12)
[EN] We study regular, normal and perfectly normal preorders by referring to suitable assumptions concerning the preorder and the topology of the space. We also present conditions for the existence of a countable continuous ...
Ekmekçi, Ramazan; Ertürk, Rıza(Universitat Politècnica de València, 2016-04-12)
[EN] Graded ditopological texture spaces have been presented and discussed in categorical aspects by Lawrence M. Brown and Alexander Sostak (see bibliography). In this paper, the authors generalize the structure of difilters ...