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- W4310423832 abstract "We suggest one complete and one partial solution to the selected problems presented in the recently published article On Backward Attractors of Interval Maps (Hantáková and Roth (2021) [15]). Specifically we prove a conjecture proposing a characterisation of sets of β-limit points (i.e. limit points of all accumulation points of backward orbit branches of a specific point) for graph maps. We show that β-limit sets coincide with Birkhoff centre Rec(f)‾ and that the condition for a point to belong to its β-limit set is equivalent to belonging to the β-limit set of an other point. In the second part of the paper we deal with genericity of having all sα-limit sets closed and we prove that maps with not all sα-limit sets closed are dense in C0([0,1]), which partially solves an open problem also suggested in the aforementioned article." @default.
- W4310423832 created "2022-12-10" @default.
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- W4310423832 date "2023-02-01" @default.
- W4310423832 modified "2023-10-17" @default.
- W4310423832 title "Birkhoff centre and backward limit points" @default.
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- W4310423832 doi "https://doi.org/10.1016/j.topol.2022.108338" @default.
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