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Arzela-Ascoli theorem is stable |
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| Authors: | S. H. Kulkarni |
| Affiliation: | Department of Mathematics, Indian Institute of Technology, Madras, Chennai-600036 |
| Abstract: | A quantitative version of the Arzela-Ascoli theorem is proved. This version implies that a closed and bounded subset of C(X) is nearly compact, if and only if, it is nearly equicontinuous. |
| Keywords: | |