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C^1-stably positively expansive maps

Sakai K.

Bulletin of the Polish Academy of Sciences. Mathematics

2004

Vol. 52, nr 2

197-209

The notion of C^1-stably positively expansive differentiable maps on closed C^infinity manifolds is introduced, and it is proved that a differentiable map f is C^1-stably positively expansive if and only if f is expanding. Furthermore, for such maps, the [epsilon]-time dependent stability is shown. As a result, every expanding map is e-time dependent stable.