Embedding quasi-metric spaces in Hilbert spaces
โ Scribed by Pham Son
- Publisher
- Springer
- Year
- 1982
- Tongue
- English
- Weight
- 271 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0001-9054
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๐ SIMILAR VOLUMES
In computable analysis recursive metric spaces play an important role, since these are, roughly speaking, spaces with computable metric and limit operation. Unfortunately, the concept of a metric space is not powerful enough to capture all interesting phenomena which occur in computable analysis. So
## Abstract Regular left __K__โsequentially complete quasiโmetric spaces are characterized. We deduce that these spaces are complete Aronszajn and that every metrizable space admitting a left __K__โsequentially complete quasiโmetric is completely metrizable. We also characterize quasiโmetric spaces