AbstractThe regular spaces which may be realized as the set of maximal elements in an ω-continuous dcpo are the Polish spaces. In addition, we give a new and conceptually simple model for complete metric spaces. These results enable us to prove that the probabilistic powerdomain of a countably based model of a metric space always contains a copy of the normalized Borel measures in their weak topology, and to establish the hierarchy for countably based models
We present a general framework where countable partitions of a measure space (X,M, \u3bc)become elem...
Metric and uniform spaces of probabilistic measures are investigated in the paper aiming at the indi...
AbstractIn this paper we prove that any T1 subspace of a continuous dcpo with the relative Scott top...
AbstractThe regular spaces which may be realized as the set of maximal elements in an ω-continuous d...
AbstractFor every metric space X, we define a continuous poset BX such that X is homeomorphic to the...
AbstractWe give several characterizations of maximal point spaces of bounded continuous dcpos. Among...
AbstractThe purpose of this paper is to survey recent approaches to realizing (or embedding) a Polis...
The purpose of this paper is to survey recent approaches to realizing (or embedding) a Polish space ...
AbstractIn this article we show that each complete metric space is the maximal point space of a cont...
Following the studies made by Alsina and Schweizer about countable products of probabilistic metric ...
Countable products of probabilistic normed spaces are introduced and studied. In particular, a compa...
For a countable product of complete separable metric spaces with a topology induced by a uniform met...
AbstractIdeal domains have an elementary order theoretic structure: Every element is either compact ...
Ideal domains have an elementary order theoretic structure: Every element is either compact or maxi...
AbstractWe investigate some basic descriptive set theory for countably based completely quasi-metriz...
We present a general framework where countable partitions of a measure space (X,M, \u3bc)become elem...
Metric and uniform spaces of probabilistic measures are investigated in the paper aiming at the indi...
AbstractIn this paper we prove that any T1 subspace of a continuous dcpo with the relative Scott top...
AbstractThe regular spaces which may be realized as the set of maximal elements in an ω-continuous d...
AbstractFor every metric space X, we define a continuous poset BX such that X is homeomorphic to the...
AbstractWe give several characterizations of maximal point spaces of bounded continuous dcpos. Among...
AbstractThe purpose of this paper is to survey recent approaches to realizing (or embedding) a Polis...
The purpose of this paper is to survey recent approaches to realizing (or embedding) a Polish space ...
AbstractIn this article we show that each complete metric space is the maximal point space of a cont...
Following the studies made by Alsina and Schweizer about countable products of probabilistic metric ...
Countable products of probabilistic normed spaces are introduced and studied. In particular, a compa...
For a countable product of complete separable metric spaces with a topology induced by a uniform met...
AbstractIdeal domains have an elementary order theoretic structure: Every element is either compact ...
Ideal domains have an elementary order theoretic structure: Every element is either compact or maxi...
AbstractWe investigate some basic descriptive set theory for countably based completely quasi-metriz...
We present a general framework where countable partitions of a measure space (X,M, \u3bc)become elem...
Metric and uniform spaces of probabilistic measures are investigated in the paper aiming at the indi...
AbstractIn this paper we prove that any T1 subspace of a continuous dcpo with the relative Scott top...