On the Jayne-Rogers theorem
General Topology
2017-06-13 v1
Abstract
In 1982, J.E. Jayne and C.A. Rogers proved that a mapping of an absolute Souslin-F set X to a metric space Y is -measurable if and only if it is piecewise continuous. We now give a similar result for a perfectly paracompact first-countable space X and a regular space Y.
Cite
@article{arxiv.1706.03624,
title = {On the Jayne-Rogers theorem},
author = {Sergey Medvedev},
journal= {arXiv preprint arXiv:1706.03624},
year = {2017}
}
Comments
6 pages. arXiv admin note: text overlap with arXiv:1112.0350 by other authors