Classification of weakly infinite-dimensional spaces. Part I: A transfinite extension of the covering dimension
Piet Borst (1988)
Fundamenta Mathematicae
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Piet Borst (1988)
Fundamenta Mathematicae
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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.
P. Borst, Jan Dijkstra (1985)
Fundamenta Mathematicae
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James Keesling (1969)
Fundamenta Mathematicae
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M. Charalambous (1976)
Fundamenta Mathematicae
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Roman Sikorski (1951)
Fundamenta Mathematicae
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Keiô Nagami (1981)
Fundamenta Mathematicae
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J. H. Roberts, F. G. Slaughert, Jr. (1968)
Fundamenta Mathematicae
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J. Aarts (1971)
Fundamenta Mathematicae
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D. Zaremba-Szczepkowic (1965)
Fundamenta Mathematicae
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