Colasante, María Luisa; Uzcátegui, Carlos; Vielma, Jorge(Universitat Politècnica de València, 2008-04-01)
[EN] In the context of a generalized topology g on a set X, we give in this article characterizations of some separation axioms between T0 and T2 in terms of properties of the diagonal in X × X.
Kohli, J.K.; Singh, D.(Universitat Politècnica de València, 2008-04-01)
[EN] It is shown that if domain is a sum connected space and range is a T0-space, then the notions of strong continuity, perfect continuity and cl-supercontinuity coincide. Further, it is proved that if X is a sum connected ...
Claes, Veerle(Universitat Politècnica de València, 2008-04-01)
[EN] The topological construct SSET of affine sets over the two-point set S contains many interesting topological subconstructs such as TOP, the construct of topological spaces, and CL, the construct of closure spaces. For ...
Carter, Sheila; Craveiro de Carvalho, F.J.(Universitat Politècnica de València, 2008-04-01)
[EN] The cancellation problem, which goes back to S. Ulam, is formulated as follows:
Given topological spaces X, Y, Z, under what circumstances does X × Z ≈Y × Z (≈ meaning homeomorphic to) imply X ≈ Y ?
In it is ...
Pajoohesh, H.(Universitat Politècnica de València, 2008-04-01)
[EN] Binary trees are very useful tools in computer science for estimating the running time of so-called comparison based algorithms, algorithms in which every action is ultimately based on a prior comparison between two ...