Displaying similar documents to “On periodic homeomorphisms of spheres.”

A Brouwer-like theorem for orientation reversing homeomorphisms of the sphere

Marc Bonino (2004)

Fundamenta Mathematicae

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We provide a topological proof that each orientation reversing homeomorphism of the 2-sphere which has a point of period k ≥ 3 also has a point of period 2. Moreover if such a k-periodic point can be chosen arbitrarily close to an isolated fixed point o then the same is true for the 2-periodic point. We also strengthen this result by proving that if an orientation reversing homeomorphism h of the sphere has no 2-periodic point then the complement of the fixed point set can be covered...

Some properties of the jacobian sn z function.

István Fenyö (1985)

Stochastica

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Using some results of the theory of functional equations we deduce some properties of the Jacobian sn z function which seem to be new. Some functional equations have also been found which are fulfilled by the sn z function which the author did not find in the literature.