Add to ORKG By using relators (families of relations) and some natural operations for relators, we offer some general definitions for continuity, increasingness, and Galois connections
Topics include: Topological space and continuous functions (bases, the product topology, the box top...
We prove a non-trivial property of relations in a way that emphasises the creative process in its co...
∗. This document has been written using the GNU TEXMACS text editor (see www.texmacs.org). In this w...
2000 Mathematics Subject Classification: 06A06, 54E15An ordered pair X(R) = ( X, R ) consisting of a...
[EN] In this paper, we define uniformities and topologies as relators and show the equivalences of t...
summary:Following the ideas of R. DeMarr, we establish a Galois connection between distance function...
AbstractThe (isotone) map f: X → X is an increasing (decreasing) operator on the poset X if f(x) ⩽ f...
summary:In a former paper, motivated by a recent theory of relators (families of relations), we have...
Each relation induces a new closure operator, which is (in the sense of data mining) stronger than o...
Inma P. Cabrera, Pablo Cordero, Manuel Ojeda-Aciego, Relation-based Galois connections: towards the ...
AbstractWe study how the concept of higher-dimensional extension which comes from categorical Galois...
AbstractLet X,Y be sets with quasiproximities ◃X and ◃Y (where A◃B is interpreted as “B is a neighbo...
The category Rel(Set) of sets and relations can be described as a category of spans and as the Kleis...
AbstractAlgebraic properties of logical relations on partially ordered sets are studied. It is shown...
It is a part of my Algebraic General Topology research. In this article I introduce the concepts of ...
Topics include: Topological space and continuous functions (bases, the product topology, the box top...
We prove a non-trivial property of relations in a way that emphasises the creative process in its co...
∗. This document has been written using the GNU TEXMACS text editor (see www.texmacs.org). In this w...
2000 Mathematics Subject Classification: 06A06, 54E15An ordered pair X(R) = ( X, R ) consisting of a...
[EN] In this paper, we define uniformities and topologies as relators and show the equivalences of t...
summary:Following the ideas of R. DeMarr, we establish a Galois connection between distance function...
AbstractThe (isotone) map f: X → X is an increasing (decreasing) operator on the poset X if f(x) ⩽ f...
summary:In a former paper, motivated by a recent theory of relators (families of relations), we have...
Each relation induces a new closure operator, which is (in the sense of data mining) stronger than o...
Inma P. Cabrera, Pablo Cordero, Manuel Ojeda-Aciego, Relation-based Galois connections: towards the ...
AbstractWe study how the concept of higher-dimensional extension which comes from categorical Galois...
AbstractLet X,Y be sets with quasiproximities ◃X and ◃Y (where A◃B is interpreted as “B is a neighbo...
The category Rel(Set) of sets and relations can be described as a category of spans and as the Kleis...
AbstractAlgebraic properties of logical relations on partially ordered sets are studied. It is shown...
It is a part of my Algebraic General Topology research. In this article I introduce the concepts of ...
Topics include: Topological space and continuous functions (bases, the product topology, the box top...
We prove a non-trivial property of relations in a way that emphasises the creative process in its co...
∗. This document has been written using the GNU TEXMACS text editor (see www.texmacs.org). In this w...