On compact metric spaces and the group of Baire equivalences
E. Lorch (1968)
Studia Mathematica
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Displaying similar documents to “Baire spaces and weak topologies generated by gap and excess functionals”
On compact metric spaces and the group of Baire equivalences
Topologies in product which preserve Baire spaces
Anna Kucia (1990)
Commentationes Mathematicae Universitatis Carolinae
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Three variants of a Kuratowski's theorem
M. M. Drešević (1980)
Matematički Vesnik
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Relative Compactness for Hyperspaces
Sianesi, Francesca (1999)
Serdica Mathematical Journal
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The present paper contains results characterizing relatively compact subsets of the space of the closed subsets of a metrizable space, equipped with various hypertopologies. We investigate the hyperspace topologies that admit a representation as weak topologies generated by families of gap functionals defined on closed sets, as well as hit-and-miss topologies and proximal-hit and-miss topologies.
A new approach to a hyperspace theory.
Lucchetti, Roberto, Pasquale, Angela (1994)
Journal of Convex Analysis
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On similarity between topologies
Artur Bartoszewicz, Małgorzata Filipczak, Andrzej Kowalski, Małgorzata Terepeta (2014)
Open Mathematics
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Let T 1 and T 2 be topologies defined on the same set X and let us say that (X, T 1) and (X, T 2) are similar if the families of sets which have nonempty interior with respect to T 1 and T 2 coincide. The aim of the paper is to study how similar topologies are related with each other.