Characterizations of certain classes of infinite dimensional metrizable spaces
type: Item
instance of: scholarly article
title: Characterizations of certain classes of infinite dimensional metrizable spaces
zbMATH Open document ID: 0568.54026
DOI: 10.1016/0166-8641(85)90039-2
author: Yasunao Hattori
published in: Topology and its Applications
publication date: 1985-01-01T00:00:00Z
review text: For metrizable spaces, characterizations are obtained of the property of having both large transfinite dimension Ind and strong small transfinite dimension sind, in terms of the rank of bases and the existence of certain developments. A characterization of separable metric spaces with this property by means of embeddings into the Hilbert cube is also obtained.
Mathematics Subject Classification ID: 54F45
Mathematics Subject Classification ID: 54E35
zbMATH DE Number: 3907341
zbMATH Keywords: large transfinite dimension
zbMATH Keywords: strong small transfinite dimension
zbMATH Keywords: rank of bases
zbMATH Keywords: developments
zbMATH Keywords: embeddings
zbMATH Keywords: Hilbert cube
MaRDI profile type: Publication
full work available at URL: 0166-8641(85)90039-2
OpenAlex ID: W2041960921
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Wikidata QID: Q127932788
description: scientific article; zbMATH DE number 3907341