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QUASIMETRIC SPACES WITH MEASURE
 SUBMITTED TO TOPOLOGY PROCEEDINGS
, 2003
"... The phenomenon of concentration of measure on high dimensional structures is usually stated in terms of a metric space with a Borel measure, also called an mmspace. We extend some of the mmspace concepts to the setting of a quasimetric space with probability measure (pqspace). Our motivation co ..."
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The phenomenon of concentration of measure on high dimensional structures is usually stated in terms of a metric space with a Borel measure, also called an mmspace. We extend some of the mmspace concepts to the setting of a quasimetric space with probability measure (pqspace). Our motivation
QuasiMetric Relativity by
, 2002
"... This is a short survey of a new type of relativistic spacetime framework; the socalled quasimetric framework. The basic geometric structure underlying quasimetric relativity is a oneparameter family gt of Lorentzian 4metrics parameterized by a global time function t. A linear and symmetric affin ..."
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This is a short survey of a new type of relativistic spacetime framework; the socalled quasimetric framework. The basic geometric structure underlying quasimetric relativity is a oneparameter family gt of Lorentzian 4metrics parameterized by a global time function t. A linear and symmetric
Connecting Fuzzy submonoids, fuzzy preorders and quasimetrics.
, 2006
"... This paper is an extended abstract of my paper [12] published in Fuzzy Set and Systems. We start from a residuated lattice L and a monoid M, and we define a Galois connection from the lattice of the compatible Lpreorders in M and the lattice of Lsubmonoids of M. Given a set S we define a Galois co ..."
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connection between the lattice of the Lpreorders in S and the lattice of Lsubmonoids of the monoid (S S, ◦, i). A link with the notion of quasimetric is also established.
COMPLETING QUASIMETRIC SPACES – AN ALTERNATIVE APPROACH
"... Abstract. We define a completion theory for all approach spaces with an underlying T0 topology, which agrees with the usual metric completion theory for metric spaces. Hence we can complete any quasimetric space. Remarkably the completion of a quasimetric space need not be quasimetric, but can be ..."
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Abstract. We define a completion theory for all approach spaces with an underlying T0 topology, which agrees with the usual metric completion theory for metric spaces. Hence we can complete any quasimetric space. Remarkably the completion of a quasimetric space need not be quasimetric, but can
REPRESENTATION THEOREMS FOR FUZZY ORDERS AND QUASIMETRICS by
"... Abstract. Let L be a complete residuated lattice. Then we show that any Lpreorder can be represented both by an implicationbased graded inclusion as defined [1] and by a similaritybased graded inclusion as defined in [2]. Also, in accordance with a duality between [0,1]orders and quasimetrics, ..."
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Abstract. Let L be a complete residuated lattice. Then we show that any Lpreorder can be represented both by an implicationbased graded inclusion as defined [1] and by a similaritybased graded inclusion as defined in [2]. Also, in accordance with a duality between [0,1]orders and quasimetrics
Classical Electrodynamics in QuasiMetric SpaceTime by
, 2006
"... The quasimetric manifold N is equipped with two oneparameter families of metric tensors ¯g t and gt, each parameterized by the global time function t. Moreover, in (N,¯gt) one must define two different electromagnetic field tensors corresponding to the active field tensor ˜Ft and the passive field ..."
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The quasimetric manifold N is equipped with two oneparameter families of metric tensors ¯g t and gt, each parameterized by the global time function t. Moreover, in (N,¯gt) one must define two different electromagnetic field tensors corresponding to the active field tensor ˜Ft and the passive
QUASIMETRIC SPACES AND POINTFREE GEOMETRY (Extended Abstract)
 UNDER CONSIDERATION FOR PUBLICATION IN THEORY AND PRACTICE OF LOGIC PROGRAMMING
, 2006
"... An approach to pointfree geometry based on the notion of a quasimetric is proposed in which the primitives are the regions and a non symmetric distance between regions. The intended models are the bounded regular closed subsets of a metric space together with the Hausdorff excess measure. ..."
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An approach to pointfree geometry based on the notion of a quasimetric is proposed in which the primitives are the regions and a non symmetric distance between regions. The intended models are the bounded regular closed subsets of a metric space together with the Hausdorff excess measure.
Results 1  10
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831,502