E∞-spaces and injective Γ-spaces
✍ Scribed by R. Schwänzl; R. M. Vogt
- Publisher
- Springer
- Year
- 1988
- Tongue
- English
- Weight
- 477 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Many categories of semantic domains can be considered from an order-theoretic point of view and from a topological point of view via the Scott topology. The topological point of view is particularly fruitful for considerations of computability in classical spaces such as the Euclidean real line. Whe
D. Scott in his paper [5] on the mathematical models for the Church-Curry 2-calculus proved the following theorem. A topological space X is an absolute extensor for the category of all topological spaces iff a contraction of X is a topological space of "Scott's open sets" in a conti. nuous lattice.
An example of two distinguished M c h e t spaces E, F is given (even more, E is quasinormable and F is normable) such that their completed injective tensor product E&F is not distinguished. On the other hand, it is proved that for arbitrary reflexive F r k h e t space E and arbitrary compact set K t