4 citations · 8 across the 4 of their papers we have counts for
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Structural stability of attractor-repellor endomorphisms with singularities
Pierre Berger
We prove a theorem on structural stability of smooth attractor-repellor endomorphisms of compact manifolds, with singularities. By attractor-repellor, we mean that the non-wanderin…
Persistence of laminations
Pierre Berger
We present a modern proof of some extensions of the celebrated Hirsch-Pugh-Shub theorem on persistence of normally hyperbolic compact laminations. Our extensions consist of allowin…
Persistence of normally expanded submanifolds with boundary or corners
Pierre Berger
We show that invariant submanifolds with boundary, and more generally with corners which are normally expanded by an endomorphism are persistent as -regular stratifications. Thi…
Persistence of stratification of normally expanded laminations
Pierre Berger
This manuscript complements the Hirsch-Pugh-Shub (HPS) theory on persistence of normally hyperbolic laminations and the theorem of Robinson on the structural stability of diffeomor…