Results 41 to 50 of about 255 (119)

Fuzzy bicompletable quasi-fuzzy distance space

open access: yesInternational Journal of Applied Mathematical Research, 2016
In this paper we introduce the definition of quasi-fuzzy distance space then we discuss several properties of this space after we give an example to illustrate this notion. Then we show that the existence of a quasi-fuzzy distance space which is not fuzzy bicompletable.
Jehad Kider, Aisha J. Hassan
openaire   +2 more sources

On linear spaces of bipartite graphs

open access: yesZhurnal Srednevolzhskogo Matematicheskogo Obshchestva
The article considers symmetric linear spaces of bipartite graphs (SLSBG), i.e. the set of bipartite graphs with fixed lobes closed with respect to the symmetric difference and permutations of vertices in each lobe.
Vladimir E. Alekseev, Darya V. Zakharova
semanticscholar   +1 more source

More on upper bicompletion-true functorial quasi-uniformities

open access: yesTopology and its Applications, 2011
Let \({\mathbf Q}{\mathbf U}_0\) be the category of quasi-uniform \(T_0\)-spaces and \(K:{\mathbf Q}{\mathbf U}_0\to{\mathbf Q}{\mathbf U}_0\) be the bicompletion reflector. If \(T:{\mathbf Q}{\mathbf U}_0\to{\mathbf T}{\mathbf o}{\mathbf p}_0\) is the forgetful functor to the category \({\mathbf T}{\mathbf o}{\mathbf p}_0\) of topological \(T_0 ...
Sioen, Mark   +2 more
openaire   +2 more sources

Cofinal bicompleteness and quasi-metrizability [PDF]

open access: yes, 1999
[EN] We introduce the notions of a cofinally bicomplete quasi-uniformity and of a cofinally bicomplete quasi-pseudometric. The Sorgenfrey quasi-metric and the Kofner quasi-metric are interesting examples of cofinally bicomplete quasi-metrics.
Romaguera Bonilla, Salvador   +3 more
core  

Hermitian K-theory for stable $\infty$-categories I: Foundations [PDF]

open access: yes, 2022
158 pagesInternational audienceThis paper is the first in a series in which we offer a new framework for hermitian K-theory in the realm of stable $\infty$-categories.
Harpaz, Yonatan,   +17 more
core   +1 more source

On The Existence Of Category Bicompletions

open access: yes, 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

A class of exactness properties characterized via left Kan extensions

open access: yes, 2022
We consider a general class of exactness properties on a finitely complete category, all of which can be expressed as the condition that a certain morphism in a diagram is a strong epimorphism.
Jacqmin, Pierre-Alain
core   +1 more source

The Katětov construction modified for a T0T0-quasi-metric space

open access: yes, 2012
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 to an isometry of qUqU onto ...
Hans-Peter A. Künzi   +4 more
core   +1 more source

Minimal Decompositions of Complete Graphs into Subgraphs with Embeddability Properties

open access: yes, 1969
Although the problem of finding the minimum number of planar graphs into which the complete graph can be decomposed remains partially unsolved, the corresponding problem can be solved for certain other surfaces.
L. W. Beineke
core   +1 more source

Caristi's Type Mappings On Complete Partial Metric Spaces [PDF]

open access: yes, 2013
Altun, Ishak/0000-0002-7967-0554We introduce a new type of Caristi's mapping on partial metric spaces and show that a partial metric space is complete if and only if every Caristi mapping has a fixed point.
Acar, Ozlem   +2 more
core   +1 more source

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