Results 41 to 50 of about 255 (119)
Fuzzy bicompletable quasi-fuzzy distance space
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
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
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]
[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]
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
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
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
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
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]
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

