The theory of apartness spaces, and their relation to topological spaces (in the point-set case) and uniform spaces (in the set-set case), is sketched. New notions of local decomposability and regularity are investigated, and the latter is used to produce an example of a classically metrisable apart
โฆ LIBER โฆ
Similarity, topology, and uniformity
โ Scribed by Reinhold Heckmann
- Book ID
- 113720690
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 313 KB
- Volume
- 79
- Category
- Article
- ISSN
- 1567-8326
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## Abstract In this paper, we consider a collection of filters of a BLโalgebra __A__. We use the concept of congruence relation with respect to filters to construct a uniformity which induces a topology on __A__. We study the properties of this topology regarding different filters. (ยฉ 2007 WILEYโVC
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