Coordinatewise decomposition of group-valued Borel functions
Fundamenta Mathematicae (2007)
- Volume: 196, Issue: 2, page 119-126
- ISSN: 0016-2736
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topBenjamin D. Miller. "Coordinatewise decomposition of group-valued Borel functions." Fundamenta Mathematicae 196.2 (2007): 119-126. <http://eudml.org/doc/283357>.
@article{BenjaminD2007,
abstract = {Answering a question of Kłopotowski, Nadkarni, Sarbadhikari, and Srivastava, we characterize the Borel sets S ⊆ X × Y with the property that every Borel function f: S → ℂ is of the form f(x,y) = u(x) + v(y), where u: X → ℂ and v: Y → ℂ are Borel.},
author = {Benjamin D. Miller},
journal = {Fundamenta Mathematicae},
keywords = {coordinatewise decomposition; Borel sets},
language = {eng},
number = {2},
pages = {119-126},
title = {Coordinatewise decomposition of group-valued Borel functions},
url = {http://eudml.org/doc/283357},
volume = {196},
year = {2007},
}
TY - JOUR
AU - Benjamin D. Miller
TI - Coordinatewise decomposition of group-valued Borel functions
JO - Fundamenta Mathematicae
PY - 2007
VL - 196
IS - 2
SP - 119
EP - 126
AB - Answering a question of Kłopotowski, Nadkarni, Sarbadhikari, and Srivastava, we characterize the Borel sets S ⊆ X × Y with the property that every Borel function f: S → ℂ is of the form f(x,y) = u(x) + v(y), where u: X → ℂ and v: Y → ℂ are Borel.
LA - eng
KW - coordinatewise decomposition; Borel sets
UR - http://eudml.org/doc/283357
ER -
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