Topological representation of abstractLp-spaces
โ Scribed by J. T. Marti
- Publisher
- Springer
- Year
- 1970
- Tongue
- English
- Weight
- 415 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A domain representation of a topological space X is a function, usually a quotient map, from a subset of a domain onto X . Several di erent classes of domain representations are introduced and studied. It is investigated when it is possible to build domain representations from existing ones. It is,
D โ D is a normal totality on a Scott domain D if it is upward closed and x y โ D is an equivalence relation on D . We prove that every topological space can be represented by a domain with normal totality.
This note presents a concrete representation of stably compact spaces. This is used to give a simple, and predicative, description of the patch topology of a stably compact space (J. Pure Appl. Algebra, to appear).