Results 1 to 10 of about 31 (16)
The metrizablity of product spaces [PDF]
International Mathematical Forum, 2007 Let (Xt)t∈I be a family of topological spaces and t∈I Xt be a product space. In this paper, t∈I Xt has two topology which are called product and box topology. We want to establish the metrizablity of t∈I Xt with respect to both topology and get some conclusions.
K. Haghnejad Azer
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Representations of bornologies [PDF]
Applied General Topology, 2022 Bornologies abstract the properties of bounded sets of a metric space. But there are unbounded bornologies on a metric space like $\mathcal{P}(\RR)$ with the Euclidean metric.
Homeira Pajoohesh
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Kurepa trees and topological non-reflection [PDF]
, 2005 A property P of a structure S does not reflect if no substructure of S of smaller cardinality than S has the property. If for a given property P there is such an S of cardinality κ, we say that P does not reflect at κ.
Koszmider, Piotr
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On the Topology Induced by C*-Algebra-Valued Fuzzy Metric Spaces [PDF]
, 2020 We define the notion of C * -algebra-valued fuzzy metric spaces and we study the topology induced by these spaces.The authors are grateful to the Basque Government by the support, of this work through Grant IT1207 ...
De la Sen Parte, Manuel +4 more
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Metric characterization of connectedness for topological spaces [PDF]
, 2014 Connectedness, path connectedness, and uniform connectedness are well-known concepts. In the traditional presentation of these concepts there is a substantial difference between connectedness and the other two notions, namely connectedness is defined as ...
Weiss, Ittay
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Universal minimal flows of homeomorphism groups of high-dimensional manifolds are not metrizable
, 2021 Answering a question of Uspenskij, we prove that if $X$ is a closed manifold of dimension $2$ or higher or the Hilbert cube, then the universal minimal flow of $\mathrm{Homeo}(X)$ is not metrizable.
Gutman, Yonatan +2 more
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Locally compact groups and locally minimal group topologies [PDF]
, 2019 Minimal groups are Hausdorff topological groups G satisfying the open mapping theorem with respect to continuous isomorphisms, i.e., every continuous iso- morphism G \u2192 H, with H a Hausdorff topological group, is a topological isomorphism.
Dikranjan, Dikran +3 more
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On metrizable enveloping semigroups [PDF]
, 2006 When a topological group $G$ acts on a compact space $X$, its enveloping semigroup $E(X)$ is the closure of the set of $g$-translations, $g\in G$, in the compact space $X^X$. Assume that $X$ is metrizable.
Glasner, Eli +2 more
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On Complete Metrizability of Hyperspaces [PDF]
, 2014 The purpose of the talk is to present new completeness results about the topology of bornological convergence S on the hyperspace C (X) of all nonempty closed subsets of a metric space (X; d).
NC DOCKS at The University of North Carolina at Pembroke +1 more
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Non-Linear Analysis and Application to Partial Differential Equations [PDF]
, 2018 In the past couple of decades, when Linear Functional Analysis was quite widely and completely established, the interest of mathematicians towards Non-linear Analysis has increased a lot. At one hand the treatment of various classical problems has been
Bali, Saransh, Manna, Bhakti Bhusan
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