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. © 2008 Elsevier B.V. All rights reserved.
Xi, X., & Liang, J. (2009). Function spaces from core compact coherent spaces to continuous B-domains. Topology and Its Applications, 156(3), 542–548. https://doi.org/10.1016/j.topol.2008.08.005