About an example of a Banach space not weaky K-analytic.
J. Kakol, M. López Pellicer (2009)
RACSAM
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J. Kakol, M. López Pellicer (2009)
RACSAM
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Jerzy Kąkol, Manuel López Pellicer (2007)
RACSAM
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Recently Cascales, Kąkol and Saxon showed that in a large class of locally convex spaces (so called class G) every Fréchet-Urysohn space is metrizable. Since there exist (under Martin’s axiom) nonmetrizable separable Fréchet-Urysohn spaces C(X) and only metrizable spaces C(X) belong to class G, we study another sufficient conditions for Fréchet-Urysohn locally convex spaces to be metrizable.
Cascales, B., Orihuela, J. (1991)
Portugaliae mathematica
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K. Alster, Roman Pol (1980)
Fundamenta Mathematicae
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Kalenda, Ondrej (1999)
Serdica Mathematical Journal
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∗ Supported by Research grants GAUK 190/96 and GAUK 1/1998 We prove that the dual unit ball of the space C0 [0, ω1 ) endowed with the weak* topology is not a Valdivia compact. This answers a question posed to the author by V. Zizler and has several consequences. Namely, it yields an example of an affine continuous image of a convex Valdivia compact (in the weak* topology of a dual Banach space) which is not Valdivia, and shows that the property of the dual unit ball being...
Eric van Douwen, Teodor Przymusiński (1980)
Fundamenta Mathematicae
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Aleksander V. Arhangel'skii (2010)
Commentationes Mathematicae Universitatis Carolinae
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Some strong versions of the Fréchet-Urysohn property are introduced and studied. We also strengthen the concept of countable tightness and generalize the notions of first-countability and countable base. A construction of a topological space is described which results, in particular, in a Tychonoff countable Fréchet-Urysohn space which is not first-countable at any point. It is shown that this space can be represented as the image of a countable metrizable space under a continuous pseudoopen...
Roman Pol (1980)
Fundamenta Mathematicae
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