A theorem on generic intersections in an o-minimal structure
Fundamenta Mathematicae (2014)
- Volume: 227, Issue: 1, page 21-25
- ISSN: 0016-2736
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topKrzysztof Jan Nowak. "A theorem on generic intersections in an o-minimal structure." Fundamenta Mathematicae 227.1 (2014): 21-25. <http://eudml.org/doc/282594>.
@article{KrzysztofJanNowak2014,
abstract = {Consider a transitive definable action of a Lie group G on a definable manifold M. Given two (locally) definable subsets A and B of M, we prove that the dimension of the intersection σ(A) ∩ B is not greater than the expected one for a generic σ ∈ G.},
author = {Krzysztof Jan Nowak},
journal = {Fundamenta Mathematicae},
keywords = {definable group action; intersections of definable sets; o-minimal structure},
language = {eng},
number = {1},
pages = {21-25},
title = {A theorem on generic intersections in an o-minimal structure},
url = {http://eudml.org/doc/282594},
volume = {227},
year = {2014},
}
TY - JOUR
AU - Krzysztof Jan Nowak
TI - A theorem on generic intersections in an o-minimal structure
JO - Fundamenta Mathematicae
PY - 2014
VL - 227
IS - 1
SP - 21
EP - 25
AB - Consider a transitive definable action of a Lie group G on a definable manifold M. Given two (locally) definable subsets A and B of M, we prove that the dimension of the intersection σ(A) ∩ B is not greater than the expected one for a generic σ ∈ G.
LA - eng
KW - definable group action; intersections of definable sets; o-minimal structure
UR - http://eudml.org/doc/282594
ER -
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