Metric and uniform spaces of probabilistic measures are investigated in the paper aiming at the indication of P( rho ) metrics, generating the topology of P(X) space, for an arbitrary metric space (X, rho ). The investigation of uniform spaces, generated by the family of P( rho alpha ) pseudometrics is also the aim of the paper. As a result the metrics, generating P(X) topology has been indicated for the X metric space. The Smirnov's extension on the metric proximity of P(X) space has been investigated. The results given have been generalized on the category of uniform spaces. The investigation has the theoretical character. The paper results may find their field of application in general topology, functional analysisAvailable from VNTIC / ...
[[abstract]]In this paper, we give the properties of some topological spaces generated by Pqp-metric...
Probabilistic metric spaces are characterized as those spaces in which a suitable family of continuo...
This is a presentation without proofs of the key facts about the topology of Probabilistic Metric sp...
For a countable product of complete separable metric spaces with a topology induced by a uniform met...
This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-pseudo-metri...
[EN] Usually, fuzzy metric spaces are endowed with crisp topologies or crisp uniformities. Neverthel...
Abstract. This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-ps...
For a countable product of complete separable metric spaces, with a topology induced by a uniform me...
The notion of a probabilistic metric space corresponds to the situations when we do not know exactly...
The notion of a probabilistic metric space corresponds to the situations when we do not know exactly...
Probabilistic quasi-metric spaces are introduced and used to define ordered probabilistic metric spa...
Metric spaces are defined in terms of a space and a metric, or distance. Probabilistic metric spaces...
[[abstract]]In this paper, we give the properties of some topological spaces generated by Pqp-metric...
[EN] In this paper we introduce a metric on the space I(X) of idempotent probability measures on a g...
We develop a theory of probabilistic convergence spaces based on Tardiff’s neighbourhood systems for...
[[abstract]]In this paper, we give the properties of some topological spaces generated by Pqp-metric...
Probabilistic metric spaces are characterized as those spaces in which a suitable family of continuo...
This is a presentation without proofs of the key facts about the topology of Probabilistic Metric sp...
For a countable product of complete separable metric spaces with a topology induced by a uniform met...
This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-pseudo-metri...
[EN] Usually, fuzzy metric spaces are endowed with crisp topologies or crisp uniformities. Neverthel...
Abstract. This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-ps...
For a countable product of complete separable metric spaces, with a topology induced by a uniform me...
The notion of a probabilistic metric space corresponds to the situations when we do not know exactly...
The notion of a probabilistic metric space corresponds to the situations when we do not know exactly...
Probabilistic quasi-metric spaces are introduced and used to define ordered probabilistic metric spa...
Metric spaces are defined in terms of a space and a metric, or distance. Probabilistic metric spaces...
[[abstract]]In this paper, we give the properties of some topological spaces generated by Pqp-metric...
[EN] In this paper we introduce a metric on the space I(X) of idempotent probability measures on a g...
We develop a theory of probabilistic convergence spaces based on Tardiff’s neighbourhood systems for...
[[abstract]]In this paper, we give the properties of some topological spaces generated by Pqp-metric...
Probabilistic metric spaces are characterized as those spaces in which a suitable family of continuo...
This is a presentation without proofs of the key facts about the topology of Probabilistic Metric sp...