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Internal characterization of fragmentable spaces

Part of: Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  26 February 2010

N. K. Ribarska
N. K. Ribarska
Affiliation:
Institute of Mathematics, Bulgarian Academy of Sciences, 1090 Sofia, P. O. Box 373, Bulgaria.
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Extract

J. E. Jayne and C. A. Rogers in [7] introduced the following notion.

Let X be a topological space and p be a metric defined on X × X. X is said to be fragmented by the metric p if, for every ε > 0 and each nonempty subset Y of X there is a nonempty relatively open subset U of Y such that ρ-diam (U)≤ ε.

MSC classification

Secondary: 46B99: None of the above, but in this section
Type
Research Article
Information
Mathematika , Volume 34 , Issue 2 , December 1987 , pp. 243 - 257
Copyright
Copyright © University College London 1987

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