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Descriptive Topology in Selected Topics of Functional Analysis [2011]

1
Overview
2
Elementary Facts about Baire and Baire-Type Spaces
3
K-analytic and Quasi-Suslin Spaces
4
Web-Compact Spaces and Angelic Theorems
5
Strongly Web-Compact Spaces and a Closed Graph Theorem
6
Weakly Analytic Spaces
7
K-analytic Baire Spaces
8
A Three-Space Property for Analytic Spaces
9
K-analytic and Analytic Spaces <italic>C</italic><sub><italic>p</italic></sub>(<italic>X</italic>)
10
Precompact Sets in (<italic>LM</italic>)-Spaces and Dual Metric Spaces
11
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>
12
Weakly Realcompact Locally Convex Spaces
13
Corson’s Property (<italic>C</italic>) and Tightness
14
Fréchet–Urysohn Spaces and Groups
15
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>
16
Tightness and Distinguished Fréchet Spaces
17
Banach Spaces with Many Projections
18
Spaces of Continuous Functions over Compact Lines
19
Compact Spaces Generated by Retractions
20
Complementably Universal Banach Spaces
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