Definable Davies' theorem
Asger Törnquist; William Weiss
Fundamenta Mathematicae (2009)
- Volume: 205, Issue: 1, page 77-89
- ISSN: 0016-2736
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topAsger Törnquist, and William Weiss. "Definable Davies' theorem." Fundamenta Mathematicae 205.1 (2009): 77-89. <http://eudml.org/doc/282782>.
@article{AsgerTörnquist2009,
abstract = {We prove the following descriptive set-theoretic analogue of a theorem of R. O. Davies: Every Σ¹₂ function f:ℝ × ℝ → ℝ can be represented as a sum of rectangular Σ¹₂ functions if and only if all reals are constructible.},
author = {Asger Törnquist, William Weiss},
journal = {Fundamenta Mathematicae},
keywords = {rectangular function; Davies representation},
language = {eng},
number = {1},
pages = {77-89},
title = {Definable Davies' theorem},
url = {http://eudml.org/doc/282782},
volume = {205},
year = {2009},
}
TY - JOUR
AU - Asger Törnquist
AU - William Weiss
TI - Definable Davies' theorem
JO - Fundamenta Mathematicae
PY - 2009
VL - 205
IS - 1
SP - 77
EP - 89
AB - We prove the following descriptive set-theoretic analogue of a theorem of R. O. Davies: Every Σ¹₂ function f:ℝ × ℝ → ℝ can be represented as a sum of rectangular Σ¹₂ functions if and only if all reals are constructible.
LA - eng
KW - rectangular function; Davies representation
UR - http://eudml.org/doc/282782
ER -
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