Results 21 to 30 of about 193 (75)
Completions and compactifications of quasi-uniform spaces
, 2002 A ∗-compactification of a T1 quasi-uniform space (X,U) is a compact T1 quasi-uniform space (Y,V) that has a T(V∗)-dense subspace quasi-isomorphic to (X,U), where V∗ denotes the coarsest uniformity finer than V.With the help of the notion of T1 ∗-half ...
S. Romaguera, M. Sánchez-Granero
semanticscholar +2 more sources
Completion of a fractal structure
, 2017 Fractal structures were introduced to characterize non-archimedean quasi-metrization, and there is a strong relationship between these two concepts. In this paper we give a construction of a completion of a fractal structure by using inverse limits of a ...
J. Gálvez-Rodríguez +1 more
semanticscholar +2 more sources
Bicompletable Standard Fuzzy Quasi-Metric Space [PDF]
Journal of Applied & Computational Mathematics, 2015 In this paper we introduce the definition of standard fuzzy quasi-metric space then we discuss several properties after we give an example to illustrate this notion.
J. Kider
openaire +2 more sources
A Solution to the Completion Problem for Quasi‐Pseudometric Spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2013, Issue 1, 2013., 2013 The different notions of Cauchy sequence and completeness proposed in the literature for quasi‐pseudometric spaces do not provide a satisfactory theory of completeness and completion for all quasi‐pseudometric spaces. In this paper, we introduce a notion of completeness which is classical in the sense that it is made up of equivalence classes of Cauchy
Athanasios Andrikopoulos, R. Lowen
wiley +1 more source
The bicompletion of the Hausdorff quasi-uniformity [PDF]
, 2008 We study conditions under which the Hausdorff quasi-uniformity U H of a quasi-uniform space ( X , U ) on the set P 0 ( X ) of the nonempty subsets of X is bicomplete. Indeed we present an explicit method to construct the bicompletion of the T 0 -quotient
H. Künzi +2 more
semanticscholar +1 more source
BICOMPLETABLE STANDARD FUZZY QUASI-METRIC SPACE [PDF]
, 2014 In this paper we introduce the definition of standard fuzzy quasi-metric space then we discuss several properties after we give an example to illustrate this notion.
R. Kider, Jehad
core +1 more source
μ-Bicomplete Categories and Parity Games
RAIRO - Theoretical Informatics and Applications, 2002 Unfortunately, it appears that LaBRI has not kept a copy of this document. An email sent to director of this institution enquiring where are kept the reports before 2005 has not received an answer. A shortened version of this report has been published as RAIRO-Theor. Inf.
openaire +3 more sources
On half-completion and bicompletion of quasi-metric spaces [PDF]
, 1996 summary:We characterize the quasi-metric spaces which have a quasi-metric half-comp\-le\-tion and deduce that each paracompact co-stable quasi-metric space having a quasi-metric half-completion is metrizable.
Salvador Romaguera +3 more
core
On the fixed point theory in bicomplete quasi-metric spaces
Journal of Nonlinear Sciences and Applications, 2016 [EN] We show that some important fixed point theorems on complete metric spaces as Browder’s fixed point theorem and Matkowski’s fixed point theorem can be easily generalized to the framework of bicomplete quasi-metric spaces. From these generalizations we deduce quasi-metric versions of well-known fixed point theorems due to Krasnoselski˘ı and ...
Alegre Gil, Maria Carmen +3 more
openaire +4 more sources
On The Existence Of Category Bicompletions
, 2009 A completeness conjecture is advanced concerning the free small-colimit completion P(A) of a (possibly large) category A. The conjecture is based on the existence of a small generating-cogenerating set of objects in A. We sketch how the validity of the result would lead to the existence of an Isbell-Lambek bicompletion C(A) of such an A, without a ...
openaire +2 more sources