We prove rectilinearization and uniformization theorems for K-subanalytic (∝anK-definable) sets and functions using the Lion-Rolin formula. Parallel reasoning gives standard results for the subanalytic case.
@article{bwmeta1.element.doi-10_2478_BF02475178,
author = {Artur Pi\k ekosz},
title = {K-subanalytic rectilinearization and uniformization},
journal = {Open Mathematics},
volume = {1},
year = {2003},
pages = {441-456},
zbl = {1038.32010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475178}
}
Artur Piękosz. K-subanalytic rectilinearization and uniformization. Open Mathematics, Tome 1 (2003) pp. 441-456. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475178/
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