An Ascoli theorem in approach theory. (Q1426518)
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scientific article; zbMATH DE number 2056854
| Language | Label | Description | Also known as |
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| English | An Ascoli theorem in approach theory. |
scientific article; zbMATH DE number 2056854 |
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An Ascoli theorem in approach theory. (English)
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14 March 2004
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A theorem in the classic Ascoli style aims to characterize the compact subsets of a function space in terms of equicontinuity. In this paper, a general Ascoli-like theorem is proved in the uniform setting of approach theory, à la \textit{R. Lowen} [Approach spaces: the missing link in the topology-uniformity-metric triad (Clarendon Press, Oxford) (1997; Zbl 0891.54001)].
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Ascoli
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Approach space
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Uniform gauge space
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Contraction
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Equicontractive
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Compact
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Precompact
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0.8777241
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0.8710667
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