Generalising compactness
✍ Scribed by Hannes Diener
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 121 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0044-3050
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✦ Synopsis
Abstract
Working within the framework of Bishop's constructive mathematics, we will show that it is possible to define compactness in a more general setting than that of uniform spaces. It is also shown that it is not possible to do this in a topological space. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
📜 SIMILAR VOLUMES
The notion of sk-spline is generalised to arbitrary compact Abelian groups. A class of conditionally positive definite kernels on the group is identified, and a subclass corresponding to the generalised sk-spline is used for constructing interpolants, on scattered data, to continuous functions on th