Title

When does the class [A→B] consist of continuous domains?

Document Type

Article

Publication Date

4-15-2003

Abstract

Given classes of domains (or topological spaces) A and B, when are all function spaces [A→B] again continuous domains? The principle result of this paper is that for A either all compact and core compact spaces or only the single domain consisting of a decreasing sequence with two lower bounds, then the largest B consists of all continuous domains such that ↓x is a sup-semilattice for each x. We also establish an analogue for L-domains. © 2002 Elsevier Science B.V. All rights reserved.

Publication Source (Journal or Book title)

Topology and its Applications

First Page

91

Last Page

97

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