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- W1706057487 abstract "We show, for every $$r>dge 0$$ or $$r=dge 2$$ , the existence of a Baire generic set of $$C^d$$ -families of $$C^r$$ -maps $$(f_a)_{ain {mathbb {R}}^k}$$ of a manifold M of dimension $$ge $$ 2, so that for every a small the map $$f_a$$ has infinitely many sinks. When the dimension of the manifold is $$ge $$ 3, the generic set is formed by families of diffeomorphisms. When M is the annulus, this generic set is formed by local diffeomorphisms. This is a counter example to a conjecture of Pugh and Shub." @default.
- W1706057487 created "2016-06-24" @default.
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- W1706057487 date "2015-11-23" @default.
- W1706057487 modified "2023-09-30" @default.
- W1706057487 title "Generic family with robustly infinitely many sinks" @default.
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- W1706057487 doi "https://doi.org/10.1007/s00222-015-0632-6" @default.
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