A persistently singular map of $\mathbb{T}^n$ that is $C^1$ robustly transitive
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Publication:5869395
DOI10.24033/bsmf.2836OpenAlexW3185608262MaRDI QIDQ5869395
Publication date: 28 September 2022
Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.24033/bsmf.2836
Singularities of differentiable mappings in differential topology (57R45) Generic properties, structural stability of dynamical systems (37C20) Geometric structures on manifolds of high or arbitrary dimension (57N16)
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Cites Work
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- Topological obstructions for robustly transitive endomorphisms on surfaces
- A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
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- WHAT IS... a Blender?
- An example of a map which is $C^2$-robustly transitive but not $C^1$-robustly transitive
- A persistently singular map of $\mathbb{T}^n$ that is $C^2$ robustly transitive but is not $C^1$ robustly transitive
- A geometrical proof of the persistence of normally hyperbolic submanifolds
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