A note on Bierstone-Milman-Pawłucki's paper "Composite differentiable functions"
Annales Polonici Mathematici (2011)
- Volume: 102, Issue: 3, page 293-299
- ISSN: 0066-2216
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topKrzysztof Jan Nowak. "A note on Bierstone-Milman-Pawłucki's paper "Composite differentiable functions"." Annales Polonici Mathematici 102.3 (2011): 293-299. <http://eudml.org/doc/280570>.
@article{KrzysztofJanNowak2011,
abstract = {We demonstrate that the composite function theorems of Bierstone-Milman-Pawłucki and of Glaeser carry over to any polynomially bounded, o-minimal structure which admits smooth cell decomposition. Moreover, the assumptions of the o-minimal versions can be considerably relaxed compared with the classical analytic ones.},
author = {Krzysztof Jan Nowak},
journal = {Annales Polonici Mathematici},
keywords = {Composite function property; o-minimal structures; smooth stratifications; smooth cell decompositions},
language = {eng},
number = {3},
pages = {293-299},
title = {A note on Bierstone-Milman-Pawłucki's paper "Composite differentiable functions"},
url = {http://eudml.org/doc/280570},
volume = {102},
year = {2011},
}
TY - JOUR
AU - Krzysztof Jan Nowak
TI - A note on Bierstone-Milman-Pawłucki's paper "Composite differentiable functions"
JO - Annales Polonici Mathematici
PY - 2011
VL - 102
IS - 3
SP - 293
EP - 299
AB - We demonstrate that the composite function theorems of Bierstone-Milman-Pawłucki and of Glaeser carry over to any polynomially bounded, o-minimal structure which admits smooth cell decomposition. Moreover, the assumptions of the o-minimal versions can be considerably relaxed compared with the classical analytic ones.
LA - eng
KW - Composite function property; o-minimal structures; smooth stratifications; smooth cell decompositions
UR - http://eudml.org/doc/280570
ER -
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