## Abstract The paper deals with proximal convergence and Leader's theorem, in the constructive theory of uniform apartness spaces. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Proximal and uniform convergence on apartness spaces
✍ Scribed by Luminiţa Simona Vîţă
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 115 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0044-3050
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✦ Synopsis
Abstract
The main purpose of this paper is to investigate constructively the relationship between proximal convergence, uniform sequential convergence and uniform convergence for sequences of mappings between apartness spaces. It is also shown that if the second space satisfies the Efremovic axiom, then proximal convergence preserves strong continuity.
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