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Titlebook: Descriptive Topology in Selected Topics of Functional Analysis; Jerzy Kąkol,Wiesław Kubiś,Manuel López-Pellicer Book 20111st edition Sprin

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Philip H. Dybvig,Stephen A. Ross particular, we discuss the class of Valdivia compact spaces and its subclasses: Corson and Eberlein compact spaces. We discuss a general class of compact spaces obtained by limits of continuous retractive sequences. We also introduce the notion of a retractional skeleton, dual to projectional skele
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,Fréchet–Urysohn Spaces and Groups,r each .⊂. and each . there exists a sequence in . converging to .). The main result states that every sequentially complete Fréchet–Urysohn lcs is a Baire space. Since every infinite-dimensional Montel (.)-space . is nonmetrizable and sequential, the following question arises: Is every Fréchet–Urysohn space in the class . metrizable?
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,Tightness and Distinguished Fréchet Spaces, its strong dual has countable tightness. This approach to studying distinguished Fréchet spaces leads to a rich supply of (.)-spaces whose .. duals are quasi-Suslin but not K-analytic. The small cardinals . and . will be used to improve the analysis of Köthe’s echelon nondistinguished Fréchet space ..(.).
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Jerzy Kąkol,Wiesław Kubiś,Manuel López-PellicerPresents numerous results that have previously only appeared in journal publications.Includes several newly developed and unpublished results.Can serve a supplementary text in course focusing on selec
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Entrepreneurship in the FinTech IndustryThe first chapter contains an overview of the material contained in the book, with several historical comments and links to the bibliography.
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SupTech Practices by Chinese RegulatorsIn this chapter, we continue the study of web-compact spaces. A subclass of web-compact spaces called strongly web-compact, is introduced, and a closed graph theorem for such spaces is provided. We prove that an own product of a strongly web-compact space need not be web-compact.
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Final Girls, Feminism and Popular CultureThis chapter presents unified and direct proofs of Pfister, Cascales and Orihuela and Valdivia’s theorems about metrizability of precompact sets in (.)-spaces, (.)-spaces and dual metric spaces, respectively. The proofs do not require the typical machinery of quasi-Suslin spaces, upper semicontinuous compact-valued maps and so on.
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Towards a Social Science of NatureIn this chapter, the class of Banach spaces having the property (.) (isolated by Corson) is studied. This property provides a large subclass of Banach spaces . whose weak topology need not be Lindelöf. We collect some results of Corson, Pol, Frankiewicz, Plebanek and Ryll-Nardzewski.
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