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) If X is any product of countably compact Dedekind complete linearly ordered spaces, then there is a network for the norm topology on C(X) which is sigma-isolated in the topology of pointwise convergence. (2) If X is a nonseparable ccc space, then the evaluation map X x C-p(X) --> R is not a Baire function. (3) If X-i, i R is F sigma-measurable if and only if kappa less than or equal to c. (C) 2003 Elsevier B.V. All rights reserved.Source type: Electronic(1