Function spaces from core compact coherent spaces to continuous B-domains

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) nction space from the unit interval to any bifinite domain which is not an L-domain is not Lawson compact; bell and Scott topologies on [ X → L ] agree for each continuous B-domain L and core compact coherent space X.