✦ LIBER ✦

On the Hausdorff convergence of functions of one real variable

✍ Scribed by Umberto Marconi

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 53 KB
Volume: 111
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00200-x

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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