Open sets of diffeomorphisms with trivial centralizer in the<i>C</i><sup>1</sup>topology
Open sets of diffeomorphisms with trivial centralizer in the<i>C</i><sup>1</sup>topology
On the torus of dimension 2, 3 or 4, we show that the subset of diffeomorphisms with trivial centralizer in the C1 topology has nonempty interior. We do this by developing two approaches, the fixed point and the odd prime periodic point, to obtain a trivial centralizer for an open …