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Normal Domain Representations of Topological Spaces

✍ Scribed by Ivar Rummelhoff

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
105 KB
Volume
47
Category
Article
ISSN
0044-3050

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✦ Synopsis

D βŠ† D is a normal totality on a Scott domain D if it is upward closed and x y ∈ D is an equivalence relation on D . We prove that every topological space can be represented by a domain with normal totality.

πŸ“œ SIMILAR VOLUMES

Quasi Constricted Linear Representations
Quasi Constricted Linear Representations of Abelian Semigroups on Banach Spaces
✍ Eduard Yu. Emel'yanov; Manfred P. H. Wolff πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 174 KB πŸ‘ 1 views

Let (X, β€’ ) be a Banach space. We study asymptotically bounded quasi constricted representations of an abelian semigroup IP in L(X), i. e. representations (Tt) t∈IP which satisfy the following conditions: i) lim tβ†’βˆž Ttx < ∞ for all x ∈ X. ii) X 0 := {x ∈ X : lim tβ†’βˆž Ttx = 0} is closed and has finite