Extending Circle Mappings to the Annulus |
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| Authors: | Fernando Oliveira |
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| Institution: | (1) Departamento de Matemática, Universidade Federal de Minas Gerais, Av. Antonio Carlos 6627, 30123-970 Belo Horizonte MG, Brasil |
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| Abstract: | We show that any monotone degree one C
 mapping of the circle can be realized as the induced mapping on the boundary by a C
area preserving diffeomorphism of the open annulus. The circle mapping may have critical points, allowing the possibility of Denjoy behavior on the boundary. |
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| Keywords: | annulus embedded invariant circle Aubry– Mather set prime end circle map Denjoy |
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