Listar MAT_Articles por autoría "a97c62cb-456b-46ad-85e5-62455306835f"
-
On the construction of domains of formal balls for uniform spaces
(2014-05)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 ... -
Order representability in groups and vector spaces
Elsevier (2012)In the present paper, first we study in a systematic way the numerical representation problem for total preorders defined either on groups or on real vector spaces. Then, we consider groups and real vector spaces equipped ...
-
p-Boundedness in paratopological groups
Elsevier (2015-10)We show that bounded subsets of ω-admissible paratopological groups are p -bounded for all p∈ω⁎p∈ω⁎. In other words, they have a similar behavior to bounded subsets of topological groups. We present several new classes ...
-
Quasi-Uniformities and Quotients of Paratopological Groups
Faculty of Sciences and Mathematics, University of Nis, Serbia (2017)For a subgroup H of a paratopological group G we prove that the quotient topology of the coset space G / H is induced by a rotund quasi-uniformity and the quotient topology of the semiregularization ( G / H ...
-
R-factorizable paratopological groups
Elsevier (2010)For i = 1, 2, 3, 3.5, we define the class of R<sub>i</sub>-factorizable paratopological groups G by the condition that every continuous real-valued function on G can be factorized through a continuous homomorphism p : G → ...
-
Sequentially compact subsets and monotone functions: An application to fuzzy theory
Elsevier (2015-09)Let (X,<,τO) be a first countable compact linearly ordered topological space. If (Y,D) is a uniform sequentially compact linearly ordered space with weight less than the splitting number s, then we characterize the ... -
Some questions about Zadeh's extension on metric spaces
Elsevier (2018-10-29)For a continuous function f on a Hausdorff space X , we prove that [ ̂ f(u) ] α = f(u α ) for each u ∈ F (X) and α ∈[ 0 , 1 ] , where ̂ f is the Zadeh’s extension of f . By ...
-
Spaces splittable over the class of Eberlein and descriptive compact spaces
Springer Milan (2018)We study splittability over some classes of compact spaces which are useful in functional analysis and general topology. Among other things we show that a scattered pseudocompact space splittable over the class of Eberlein ...
-
Standard fuzzy uniform structures based on continuous t-norms
Elsevier (2012)This paper deals with fuzzy uniform structures previously introduced by the authors [Fuzzy uniform structures and continuous t-norms, Fuzzy Sets Syst. 161 (2009) 1011–1021]. Our approach involves a covariant functor Ψ from ...
-
The Katětov construction modified for a T0T0-quasi-metric space
Elsevier (2012-02)We discuss the existence and uniqueness of a T0T0-quasi-metric space qUqU defined by the following three conditions: (i) qUqU is bicomplete and supseparable, (ii) every isometry between two finite subspaces of qUqU extends ...
-
Totally Lindelöf and totally ω-narrow paratopological groups
Elsevier (2008-01)In many natural objects of topological algebra that possess the algebraic structure of a group, the operations of inversion and multiplication are not necessarily continuous—it suffices to recall the groups of homeomorphisms of ...
-
Ultrafilters and non-Cantor minimal sets in linearly ordered dynamical systems
Springer Verlag (2008)It is well known that infinite minimal sets for continuous functions on the interval are Cantor sets; that is, compact zero dimensional metrizable sets without isolated points. On the other hand, it was proved in Alcaraz ...
