Continuing 1 -dimensional Analytic Sets.
Let V be an analytic variety in a domain Ω ⊂ ℂⁿ and let K ⊂ ⊂ V be a closed subset. By studying Jensen measures for certain classes of plurisubharmonic functions on V, we prove that the relative extremal function is continuous on V if Ω is hyperconvex and K is regular.
We endow the module of analytic p-chains with the structure of a second-countable metrizable topological space.