Pseudocircles in Dynamical Systems
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چکیده
We construct an example of a C°° map on a 3-manifold which has an invariant set with an uncountable number of components, each of which is a pseudocircle. Furthermore, any map which is sufficiently close (in the C1metric) to the constructed map has a similar set.
منابع مشابه
Arrangements of Pseudocircles: On Circularizability
An arrangement of pseudocircles is a collection of simple closed curves on the sphere or in the plane such that every pair is either disjoint or intersects in exactly two crossing points. We call an arrangement intersecting if every pair of pseudocircles intersects twice. An arrangement is circularizable if there is a combinatorially equivalent arrangement of circles. Kang and Müller showed tha...
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تاریخ انتشار 2010