Homeomorphisms of the plane

A characterization of -cycles

“…Then we apply [9,Corollary 4.2] or [10,Theorem 4] to obtain thatF is topologically conjugate to a rotation R associated, by force, to the angle 2π k (because R k = Id| R 2 and R j = Id| R 2 for any j < k). We repeat the same argument for Eq.…”

Fixed point free homeomorphisms of the complex plane

“…Remark. The reader is referred to [1] and its references for other results regarding fixed point free homeomorphisms of the complex plane.…”