Results 1 to 10 of about 307 (168)

The Niemytzki plane is $\varkappa$-metrizable [PDF]

open access: yesMathematica Bohemica, 2021
We prove that the Niemytzki plane is $\varkappa$-metrizable and we try to explain the differences between the concepts of a stratifiable space and a $\varkappa$-metrizable space.
Wojciech Bielas   +2 more
doaj   +1 more source

so-metrizable spaces and images of metric spaces

open access: yesOpen Mathematics, 2021
so-metrizable spaces are a class of important generalized metric spaces between metric spaces and snsn-metrizable spaces where a space is called an so-metrizable space if it has a σ\sigma -locally finite so-network.
Yang Songlin, Ge Xun
doaj   +1 more source

Concerning Fuzzy b-Metric Spaces

open access: yesMathematics, 2023
In an article published in 2015, Hussain et al. introduced a notion of a fuzzy b-metric space and obtained some fixed point theorems for this kind of space.
Salvador Romaguera
doaj   +1 more source

Baire-Type Properties in Metrizable c0(Ω, X)

open access: yesAxioms, 2021
Ferrando and Lüdkovsky proved that for a non-empty set Ω and a normed space X, the normed space c0(Ω,X) is barrelled, ultrabornological, or unordered Baire-like if and only if X is, respectively, barrelled, ultrabornological, or unordered Baire-like ...
Salvador López-Alfonso   +2 more
doaj   +1 more source

Monad Metrizable Space

open access: yesMathematics, 2020
Do the topologies of each dimension have to be same and metrizable for metricization of any space? I show that this is not necessary with monad metrizable spaces.
Orhan Göçür
doaj   +1 more source

Some critical remarks on the paper “A note on the metrizability of tvs-cone metric spaces” / Некоторые критические замечания о работе «Заметки о метризуемости твп-конических пространств» / Neke kritičke napomene o radu “Beleška o metrizabilnosti tvp-konusnih metričkih prostora” [PDF]

open access: yesVojnotehnički Glasnik, 2018
This short and concise note provides a detailed exposition of the approach and results established by (Lin et al, 2015, pp.271-279). We show that the obtained results are not particularly surprising and new.
Suzana M. Aleksić   +3 more
doaj   +1 more source

On Radon Barycenters of Measures on Spaces of Measures

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2023
We study metrizability of compact sets in spaces of Radon measures with the weak topology. It is shown that if all compacta in a given completely regular topological space are metrizable, then every uniformly tight compact set in the space of Radon ...
V.I. Bogachev, S.N. Popova
doaj   +1 more source

Locally n-Connected Compacta and UVn-Maps

open access: yesAnalysis and Geometry in Metric Spaces, 2015
We provide a machinery for transferring some properties of metrizable ANR-spaces to metrizable LCn-spaces. As a result, we show that for completely metrizable spaces the properties ALCn, LCn and WLCn coincide to each other.
Valov V.
doaj   +1 more source

Metrizability of Topology, Precompactness and Semi-Compatibal Mappings in Neutrosophic Metric Spaces [PDF]

open access: yesNeutrosophic Sets and Systems
In this manuscript, we discuss the metrizability of the topology produced by arbitrary neutrosophic metric space. Further, we demonstrate that the resulting topology is completely metrizable if the neutrosophic metric space is complete and a neutrosophic
Khaleel Ahmad, Umar Ishtiaq
doaj   +1 more source

Peano compactifications and property S metric spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
Let (X,d) denote a locally connected, connected separable metric space. We say the X is S-metrizable provided there is a topologically equivalent metric ρ on X such that (X,ρ) has Property S, i.e.
R. F. Dickman
doaj   +1 more source

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