On Weakly Measurable Functions
Bulletin of the Polish Academy of Sciences. Mathematics (2005)
- Volume: 53, Issue: 4, page 421-428
- ISSN: 0239-7269
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topSzymon Żeberski. "On Weakly Measurable Functions." Bulletin of the Polish Academy of Sciences. Mathematics 53.4 (2005): 421-428. <http://eudml.org/doc/280960>.
@article{SzymonŻeberski2005,
abstract = {We show that if T is an uncountable Polish space, 𝓧 is a metrizable space and f:T→ 𝓧 is a weakly Baire measurable function, then we can find a meagre set M ⊆ T such that f[T∖M] is a separable space. We also give an example showing that "metrizable" cannot be replaced by "normal".},
author = {Szymon Żeberski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Baire property; meagre set; measurable function},
language = {eng},
number = {4},
pages = {421-428},
title = {On Weakly Measurable Functions},
url = {http://eudml.org/doc/280960},
volume = {53},
year = {2005},
}
TY - JOUR
AU - Szymon Żeberski
TI - On Weakly Measurable Functions
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 4
SP - 421
EP - 428
AB - We show that if T is an uncountable Polish space, 𝓧 is a metrizable space and f:T→ 𝓧 is a weakly Baire measurable function, then we can find a meagre set M ⊆ T such that f[T∖M] is a separable space. We also give an example showing that "metrizable" cannot be replaced by "normal".
LA - eng
KW - Baire property; meagre set; measurable function
UR - http://eudml.org/doc/280960
ER -
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