On classification of weakly infinite-dimensional compacta
Roman Pol (1983)
Fundamenta Mathematicae
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Roman Pol (1983)
Fundamenta Mathematicae
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Witold Marciszewski (1995)
Studia Mathematica
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We construct an example of a Banach space E such that every weakly compact subset of E is bisequential and E contains a weakly compact subset which cannot be embedded in a Hilbert space equipped with the weak topology. This answers a question of Nyikos.
Marian Turzański (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Roman Pol (1991)
Fundamenta Mathematicae
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Smirnov, Yu.
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Takashi Kimura, Chieko Komoda (2008)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we give a characterization of a separable metrizable space having a metrizable S-weakly infinite-dimensional compactification in terms of a special metric. Moreover, we give two characterizations of a separable metrizable space having a metrizable countable-dimensional compactification.
Gorelic, Isaac, Juhász, István (2008)
Commentationes Mathematicae Universitatis Carolinae
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