Displaying similar documents to “Sifting infinite - dimensional compacta by the Lusin sieve”

On sequential convergence in weakly compact subsets of Banach spaces

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.

Weakly infinite-dimensional compactifications and countable-dimensional compactifications

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.

AB-compacta.

Gorelic, Isaac, Juhász, István (2008)

Commentationes Mathematicae Universitatis Carolinae

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