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On Modes of Convergence of an Infinite Series of Functions of a Real Variable

โœ Scribed by Hobson, E. W.


Book ID
120104147
Publisher
Oxford University Press
Year
1904
Tongue
English
Weight
440 KB
Volume
s2-1
Category
Article
ISSN
0024-6115

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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.