Borel measurability of separately continuous functions, II

This paper continues the investigation begun in [M.R. Burke, Topology Appl. 129 (2003) 29–65] into the measurability properties of separately continuous functions. We sharpen several results from that paper. (1) s any product of countably compact Dedekind complete linearly ordered spaces, then there is a network for the norm topology on C(X) which is σ-isolated in the topology of pointwise convergence. s a nonseparable ccc space, then the evaluation map X×Cp(X)→R is not a Baire function. i<κ, are nondegenerate subspaces of separable linearly ordered spaces and X=∏i<κXi, then the evaluation map X×Cp(X)→R is Fσ-measurable if and only if κ⩽c.