The strong WCD property for Banach spaces.
Wilkins, Dave (1995)
International Journal of Mathematics and Mathematical Sciences
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Wilkins, Dave (1995)
International Journal of Mathematics and Mathematical Sciences
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Cristina Pérez-García, W. H. Schikhof (1992)
Collectanea Mathematica
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J. Kakol, M. López Pellicer (2009)
RACSAM
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Pedro José Paúl (1989)
Czechoslovak Mathematical Journal
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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.
Valentin Gutev (2007)
Fundamenta Mathematicae
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We demonstrate that a second countable space is weakly orderable if and only if it has a continuous weak selection. This provides a partial positive answer to a question of van Mill and Wattel.
Leonidas Tsitsas (1977)
Studia Mathematica
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Oleg Okunev, Angel Tamariz-Mascarúa (2000)
Commentationes Mathematicae Universitatis Carolinae
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A space is if is either weakly pseudocompact or Lindelöf locally compact. We prove: (1) every locally weakly pseudocompact space is truly weakly pseudocompact if it is either a generalized linearly ordered space, or a proto-metrizable zero-dimensional space with for every ; (2) every locally bounded space is truly weakly pseudocompact; (3) for , the -Lindelöfication of a discrete space of cardinality is weakly pseudocompact if .