On the Jayne–Rogers theorem
J. E. Jayne and C. A. Rogers [ 3 ] proved that a mapping f : X → Y of an absolute Souslin- F set X to a metric space Y is Δ 2 0 -measurable if and only if it is piecewise continuous. We give a similar result for a perfectly paracompact first-countable space X and a regular space Y .
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| Veröffentlicht in: | Acta mathematica Hungarica 2018-08, Vol.155 (2), p.406-415 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | J. E. Jayne and C. A. Rogers [
3
] proved that a mapping
f
:
X
→
Y
of an absolute Souslin-
F
set
X
to a metric space
Y
is
Δ
2
0
-measurable if and only if it is piecewise continuous. We give a similar result for a perfectly paracompact first-countable space
X
and a regular space
Y
. |
|---|---|
| ISSN: | 0236-5294 1588-2632 |
| DOI: | 10.1007/s10474-018-0827-6 |