Baire category properties of function spaces with the Fell hypograph topology

DOI10.1016/j.topol.2019.106817zbMath1436.54015arXiv1903.09939OpenAlexW2922834230WikidataQ127487145 ScholiaQ127487145MaRDI QIDQ2324528

Leijie Wang, Taras Banakh

Publication date: 11 September 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.09939

zbMATH Keywords

Baire categoryChoquet gameFell hypograph topology

Mathematics Subject Classification ID

Complete metric spaces (54E50) Function spaces in general topology (54C35) Baire category, Baire spaces (54E52)

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Function space of continuous maps from Peano continuum to tree I, Network properties of function spaces endowed with the Fell hypograph topology, Lusin and Suslin properties of function spaces, Function space of continuous maps from \([0, 1\) to tree. II], On Baire category properties of function spaces $C_k'(X,Y)$

Cites Work

• Topological classification of function spaces with the Fell topology. I.
• Topological classification of function spaces with the Fell topology. III.
• Baireness of \(C_ k(X)\) for locally compact \(X\)
• The hyperspace of the regions below continuous maps with the Fell topology
• Topological classification of function spaces with the Fell topology. II.
• Topological classification of function spaces with the Fell topology. IV.
• Cartesian products of Baire spaces
• Topological Spaces That are α-Favorable for a Player with Perfect Information
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