Add to ORKGMuch of analysis is based on metric spaces, but there are also very important topological spaces that are not metrizable -- that is, there is no metric that generates the same topology. The purpose of this project was to study weak topologies with the goal of understanding why such topologies are, in general, not metrizable and how they can be made metrizable with as little alteration as possible. We showed that by restricting to particular sets, certain weak topologies are metrizable
AbstractWe continue the study of topologies of strong uniform convergence on bornologies initiated b...
The concept of partial metric p on a nonempty set X was introduced by Matthews [8]. One of the most ...
AbstractWe present some criteria for the metrizability of a topological space in terms of weak base ...
AbstractWe present some criteria for the metrizability of a topological space in terms of weak base ...
AbstractWe prove that any metrizable non-compact space has a weaker metrizable nowhere locally compa...
We prove that any metrizable non-compact space has a weaker metrizable nowhere locally compact topol...
Abstract. Two equivalent metrics can be compared, with respect to their uniform properties, in sever...
Głównym celem pracy jest przybliżenie zagadnienia słabej topologii i wykazanie szeregu własności ora...
AbstractA cover C of a topological space X is point-countable (point-finite) if every point of X bel...
The study of metric spaces is closely related to the study of topology in that the study of metric s...
Hewitt [Rings of real-valued continuous functions. I., Trans. Amer. Math. Soc. 64 (1948), 45–99] def...
Hewitt [Rings of real-valued continuous functions. I., Trans. Amer. Math. Soc. 64 (1948), 45–99] def...
Two equivalent metrics can be compared, with respect to their uniform properties, in several differe...
Two equivalent metrics can be compared, with respect to their uniform properties, in several differe...
Two equivalent metrics can be compared, with respect to their uniform properties, in several differe...
AbstractWe continue the study of topologies of strong uniform convergence on bornologies initiated b...
The concept of partial metric p on a nonempty set X was introduced by Matthews [8]. One of the most ...
AbstractWe present some criteria for the metrizability of a topological space in terms of weak base ...
AbstractWe present some criteria for the metrizability of a topological space in terms of weak base ...
AbstractWe prove that any metrizable non-compact space has a weaker metrizable nowhere locally compa...
We prove that any metrizable non-compact space has a weaker metrizable nowhere locally compact topol...
Abstract. Two equivalent metrics can be compared, with respect to their uniform properties, in sever...
Głównym celem pracy jest przybliżenie zagadnienia słabej topologii i wykazanie szeregu własności ora...
AbstractA cover C of a topological space X is point-countable (point-finite) if every point of X bel...
The study of metric spaces is closely related to the study of topology in that the study of metric s...
Hewitt [Rings of real-valued continuous functions. I., Trans. Amer. Math. Soc. 64 (1948), 45–99] def...
Hewitt [Rings of real-valued continuous functions. I., Trans. Amer. Math. Soc. 64 (1948), 45–99] def...
Two equivalent metrics can be compared, with respect to their uniform properties, in several differe...
Two equivalent metrics can be compared, with respect to their uniform properties, in several differe...
Two equivalent metrics can be compared, with respect to their uniform properties, in several differe...
AbstractWe continue the study of topologies of strong uniform convergence on bornologies initiated b...
The concept of partial metric p on a nonempty set X was introduced by Matthews [8]. One of the most ...
AbstractWe present some criteria for the metrizability of a topological space in terms of weak base ...