Add to ORKGWe define a binary metric as a symmetric, distributive lattice ordered magma-valued function of two variables, satisfying a “triangle inequality . Using the notion of a Kuratowski topology, in which topologies are specified by closed sets rather than open sets, we prove that every topology is induced by a binary metric. We conclude with a discussion on the relation between binary metrics and some separation axioms
summary:Discrete partially ordered sets can be turned into distance spaces in several ways. The dist...
Whenever we have a measure function α defined on some set M of subsets of a set T, we may determine ...
Two Banach spaces X and Y are said to be almost isometric if for every ?? > 1 there exists a ??-isom...
Partially ordered sets and metric spaces are used in studying semantics in Computer Science. Sets wi...
We study the problem of characterizing which topologies on a nonemptybset are generated by a binary ...
[EN] Partial metrics are metrics except that the distance from a point to itself need not be 0. Thes...
In this paper the Boolean valued method is used to develop a theory closely resembling the theory of...
In this paper, we focused on locally closed sets in binary topological spaces and certain properties...
The T0 world of Scott's topological models used in the denotational semantics of programming languag...
This note gives a characterization of binary geometries by means of a double elimination axiom which...
A distance on a set is a comparative function. The smaller the distance between two elements of that...
We describe a construction which associates to any median metric space a pseudometric satisfying the...
We introduce the so-called doubling metric on the collection of non-empty bounded open subsets of a ...
We study a generalized notion of topology which evolved out of applications in the area of logic pro...
Plan B paper, M.A., Mathematics, University of Hawaii at Manoa, 2012In this paper, we study metric s...
summary:Discrete partially ordered sets can be turned into distance spaces in several ways. The dist...
Whenever we have a measure function α defined on some set M of subsets of a set T, we may determine ...
Two Banach spaces X and Y are said to be almost isometric if for every ?? > 1 there exists a ??-isom...
Partially ordered sets and metric spaces are used in studying semantics in Computer Science. Sets wi...
We study the problem of characterizing which topologies on a nonemptybset are generated by a binary ...
[EN] Partial metrics are metrics except that the distance from a point to itself need not be 0. Thes...
In this paper the Boolean valued method is used to develop a theory closely resembling the theory of...
In this paper, we focused on locally closed sets in binary topological spaces and certain properties...
The T0 world of Scott's topological models used in the denotational semantics of programming languag...
This note gives a characterization of binary geometries by means of a double elimination axiom which...
A distance on a set is a comparative function. The smaller the distance between two elements of that...
We describe a construction which associates to any median metric space a pseudometric satisfying the...
We introduce the so-called doubling metric on the collection of non-empty bounded open subsets of a ...
We study a generalized notion of topology which evolved out of applications in the area of logic pro...
Plan B paper, M.A., Mathematics, University of Hawaii at Manoa, 2012In this paper, we study metric s...
summary:Discrete partially ordered sets can be turned into distance spaces in several ways. The dist...
Whenever we have a measure function α defined on some set M of subsets of a set T, we may determine ...
Two Banach spaces X and Y are said to be almost isometric if for every ?? > 1 there exists a ??-isom...