C¹-maps having hyperbolic periodic points
N. Aoki ; Kazumine Moriyasu ; N. Sumi
Fundamenta Mathematicae, Tome 167 (2001), p. 1-49 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We show that the C¹-interior of the set of maps satisfying the following conditions: (i) periodic points are hyperbolic, (ii) singular points belonging to the nonwandering set are sinks, coincides with the set of Axiom A maps having the no cycle property.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:281706 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm169-1-1,
     author = {N. Aoki and Kazumine Moriyasu and N. Sumi},
     title = {C$^1$-maps having hyperbolic periodic points},
     journal = {Fundamenta Mathematicae},
     volume = {167},
     year = {2001},
     pages = {1-49},
     zbl = {1031.37021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm169-1-1}
}

N. Aoki; Kazumine Moriyasu; N. Sumi. C¹-maps having hyperbolic periodic points. Fundamenta Mathematicae, Tome 167 (2001) pp. 1-49. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm169-1-1/