Metric spaces in which Prohorov's theorem is not valid
Preiss, D.
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Preiss, D.
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J. de Groot, R. McDowell (1960)
Fundamenta Mathematicae
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Czechoslovak Mathematical Journal
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Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Banach Center Publications
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By studying dimensional types of metric scattered spaces, we consider the wider class of metric σ-discrete spaces. Applying techniques relevant to this wider class, we present new proofs of some embeddable properties of countable metric spaces in such a way that they can be generalized onto uncountable metric scattered spaces. Related topics are also explored, which gives a few new results.