Abstract
It is proved in this paper that for a continuous B-domain L, the function space [ X → L ] is continuous for each core compact and coherent space X. Further, applications are given. It is proved that: (1) the function space from the unit interval to any bifinite domain which is not an L-domain is not Lawson compact; (2) the Isbell and Scott topologies on [ X → L ] agree for each continuous B-domain L and core compact coherent space X.
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