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arxiv: 0804.1416 · v1 · submitted 2008-04-09 · 🧮 math.DS

The C1 generic diffeomorphism has trivial centralizer

classification 🧮 math.DS
keywords diffeomorphismstrivialansweringcentralizercentralizerscompactcontainsdiffeomorphism
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Answering a question of Smale, we prove that the space of C1 diffeomorphisms of a compact manifold contains a residual subset of diffeomorphisms whose centralizers are trivial.

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