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On topologization of transfinite convergence of sequences of real functions

โœ Scribed by Tomasz Natkaniec


Publisher
Akadmiai Kiad
Year
2006
Tongue
English
Weight
203 KB
Volume
111
Category
Article
ISSN
1588-2632

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โœ Umberto Marconi ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 53 KB

Let X be a bounded subset of the real line and let Y be a metric space. In the function space C(X, Y ), we give an intrinsic characterization of the functions f for which the neighborhood system in the Hausdorff topology coincides with the neighborhood system in the uniform convergence topology.