Density of Axiom A for area contracting surface embeddings
Dynamical Systems
2012-01-18 v2
Abstract
We prove that Axiom A is open and dense in the space of area contracting orientation-preserving embeddings on compact orientable surfaces with boundary. This settles the area contracting version of the {\em Smale's conjecture} \cite{s}.
Keywords
Cite
@article{arxiv.1109.4884,
title = {Density of Axiom A for area contracting surface embeddings},
author = {C. A. Morales},
journal= {arXiv preprint arXiv:1109.4884},
year = {2012}
}
Comments
13 pages. This paper has been withdrawn by the author due to an error in Eq. (1)