Homeomorphic Restrictions of Unimodal Maps
نویسنده
چکیده
Examples are given of tent maps T for which there exist nontrivial sets B ⊂ [0, 1] such that T : B → B is a homeomorphism.
منابع مشابه
Unimodal Maps as Boundary-Restrictions of Two-Dimensional Full-Folding Maps
It is shown that every unimodal map is realized as a restriction of a simple map defined on the unit disc to a part of its boundary. Our two-dimensional map is called a full-folding map, which is defined generally on a compact metric space. It is a generalization of the full tent map in that it has two homeomorphic inverse maps and thus every non-critical point has two inverse images.
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تاریخ انتشار 1999