Completeness in quasi-uniform spaces
✍ Scribed by J. L. Sieber; W. J. Pervin
- Publisher
- Springer
- Year
- 1965
- Tongue
- English
- Weight
- 239 KB
- Volume
- 158
- Category
- Article
- ISSN
- 0025-5831
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## Abstract Regular left __K__‐sequentially complete quasi‐metric spaces are characterized. We deduce that these spaces are complete Aronszajn and that every metrizable space admitting a left __K__‐sequentially complete quasi‐metric is completely metrizable. We also characterize quasi‐metric spaces
## a b s t r a c t In this paper, we introduce the notions of stratified (L, M)-fuzzy quasi-uniform spaces and (L, M)-fuzzy quasi-uniform bases, where L and M are completely distributive lattice and complete residuated lattice, respectively. We investigate the images and preimages of (L, M)-fuzzy u