Beshimov, R. B.; Georgiou, Dimitrios N.; Zhuraev, R. M.(Universitat Politècnica de València, 2021-10-01)
[EN] In this paper the properties of space of the G-permutation degree, like: weight, uniform connectedness and index boundedness are studied. It is proved that:
(1) If (X, U) is a uniform space, then the mapping π s ...
Bouziad, Ahmed(Universitat Politècnica de València, 2019-10-01)
[EN] A uniform space X is said to be proximally fine if every proximally continuous function defined on X into an arbitrary uniform pace Y is uniformly continuous. We supply a proof that every topological group which is ...
In the spirit of the well-known constructions of Edalat and Heckmann for metric spaces, we endow the set of formal (closed) balls of a given uniform space with a structure of poset and prove several of its properties, which ...
Nickolas, Peter; Tkachenko, Mikhail(Universitat Politècnica de València, 2005-04-01)
[EN] A systematic analysis is made of the character of the free and free abelian topological groups on uniform spaces and on topological spaces. In the case of the free abelian topological group on a uniform space, expressions ...
Vroegrijk, Tom(Universitat Politècnica de València, 2009-10-01)
[EN] Bornological universes were introduced some time ago by Hu and obtained renewed interest in recent articles on convergence in hyperspaces and function spaces and optimization theory. One o fHu's results gives us a ...