In this paper, we show that the C1 interior of the set of all continuum-wise expansive diffeomorphisms of a closed manifold coincides with the C1 interior of the set of all expansive diffeomorphisms. And the C1 interior of the set of all continuum-wise fully expansive diffeomorphisms on a surface is investigated. Furthermore, we have necessary and sufficient conditions for a diffeomorphism belonging to these open sets to be Anosov.
@article{urn:eudml:doc:41320,
title = {Continuum-wise expansive diffeomorphisms.},
journal = {Publicacions Matem\`atiques},
volume = {41},
year = {1997},
pages = {375-382},
mrnumber = {MR1485489},
zbl = {0973.54037},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41320}
}
Sakai, Kazuhiro. Continuum-wise expansive diffeomorphisms.. Publicacions Matemàtiques, Tome 41 (1997) pp. 375-382. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41320/