Metric dimension and equivalent metrics
J. H. Roberts, F. G. Slaughert, Jr. (1968)
Fundamenta Mathematicae
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J. H. Roberts, F. G. Slaughert, Jr. (1968)
Fundamenta Mathematicae
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Richard Hodel (1967)
Fundamenta Mathematicae
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F. Richman, G. Berg, H. Cheng, R. Mines (1976)
Compositio Mathematica
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Herrmann Haase (1988)
Acta Universitatis Carolinae. Mathematica et Physica
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Ladislav Mišík, Tibor Žáčik (1990)
Commentationes Mathematicae Universitatis Carolinae
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P. Borst (1992)
Fundamenta Mathematicae
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We will construct weakly infinite-dimensional (in the sense of Y. Smirnov) spaces X and Y such that Y contains X topologically and and . Consequently, the subspace theorem does not hold for the transfinite dimension dim for weakly infinite-dimensional spaces.