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
Recommended Citation
Lawson, J., & Xu, L. (2003). When does the class [A→B] consist of continuous domains?. Topology and its Applications, 130 (1), 91-97. https://doi.org/10.1016/S0166-8641(02)00213-4
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