Borel measurability of separately continuous ...
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| Title | Borel measurability of separately continuous functions, II |
| Author(s) | M. Burke |
| Journal | Topology and its Applications |
| Date | 2003 |
| Volume | 134 |
| Issue | 3 |
| Start page | 159 |
| End page | 188 |
| Abstract | 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. |
| ISSN | 0166-8641 |
Using APA 6th Edition citation style.
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