Search results for "metrizable"

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Dense metrizable subspaces in powers of Corson compacta

2022

We characterize when the countable power of a Corson compactum has a dense metrizable subspace and construct consistent examples of Corson compacta whose countable power does not have a dense metrizable subspace. We also give several remarks about ccc Corson compacta and, as a byproduct, we obtain a new proof of Kunen and van Mill’s characterization of when a Corson compactum supporting a strictly positive measure is metrizable.

Corson compactum dense metrizable subspace countable chain condition Martin's Axiom strictly positive measure.Applied MathematicsGeneral MathematicsProceedings of the American Mathematical Society
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Some critical remarks on the paper “A note on the metrizability of tvs-cone metric spaces” / Некоторые критические замечания о работе «Заметки о метр…

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. Namely, using an old result due to K. Deimling it is indicated that tvs-cone metric spaces over solid cones are actually cone metric spaces over normal solid cones. Hence, there are only cone metric spaces over normal solid cones or over normal non-solid cones. One question still unanswered is whether an ordered topological vector space with a non-normal non-solid cone exists. / В представленных, в данной статье, заметках приведен подробный обзор методов и полученных результатов исследо…

metrizabilannormalanUnon-normaltvp-konusni metrički prostormetrizableненормальныйEngineering (General). Civil engineering (General)нормальныйnormalтвп-коническое метрическое пространствоtvs-cone metric spaceMilitary Sciencesolidметризуемостьnije normalanTA1-2040конус с непустой внутренностьюkonus sa nepraznom unutrašnjošćuVojnotehnički Glasnik
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