We introduce the notion of leveled structure and show that every structure elementarily equivalent to the real expo field expanded by all restricted analytic functions is leveled.
@article{urn:eudml:doc:44262,
title = {Levelled O-minimal structures.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {10},
year = {1997},
pages = {241-249},
zbl = {0879.03012},
mrnumber = {MR1485302},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44262}
}
Marker, David; Miller, Chris. Levelled O-minimal structures.. Revista Matemática de la Universidad Complutense de Madrid, Tome 10 (1997) pp. 241-249. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44262/