Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660932 | Topology and its Applications | 2009 | 7 Pages |
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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