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Descriptive Topology in Selected Topics of Functional Analysis [2011]
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Overview
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Elementary Facts about Baire and Baire-Type Spaces
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K-analytic and Quasi-Suslin Spaces
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Web-Compact Spaces and Angelic Theorems
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Strongly Web-Compact Spaces and a Closed Graph Theorem
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Weakly Analytic Spaces
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K-analytic Baire Spaces
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A Three-Space Property for Analytic Spaces
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K-analytic and Analytic Spaces <italic>C</italic><sub><italic>p</italic></sub>(<italic>X</italic>)
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Precompact Sets in (<italic>LM</italic>)-Spaces and Dual Metric Spaces
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Metrizability of Compact Sets in the Class <inline-formula><alternatives><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathfrak {G}$\end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula>
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Weakly Realcompact Locally Convex Spaces
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Corson’s Property (<italic>C</italic>) and Tightness
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Fréchet–Urysohn Spaces and Groups
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Sequential Properties in the Class <inline-formula><alternatives><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathfrak{G}$\end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula>
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Tightness and Distinguished Fréchet Spaces
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Banach Spaces with Many Projections
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Spaces of Continuous Functions over Compact Lines
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Compact Spaces Generated by Retractions
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Complementably Universal Banach Spaces