Omega-limit Sets for Spiral Maps

نویسنده

  • B. KITCHENS
چکیده

We investigate a class of homeomorphisms of a cylinder, with all trajectories convergent to the cylinder base and one fixed point in the base. Let A be a nonempty finite or countable family of sets, each of which can be a priori an ω-limit set. Then there is a homeomorphism from our class, for which A is the family of all ω-limit sets.

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تاریخ انتشار 2009