On negative limit sets for one-dimensional dynamics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F12%3A%230000319" target="_blank" >RIV/47813059:19610/12:#0000319 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27240/12:86082566 RIV/61989100:27740/12:86082566
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0362546X11008510" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0362546X11008510</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2011.12.030" target="_blank" >10.1016/j.na.2011.12.030</a>

Result language
angličtina
Original language name
On negative limit sets for one-dimensional dynamics
Original language description
In this paper we study the structure of negative limit sets of maps on the unit interval. We prove that every alpha-limit set is an omega-limit set, while the converse is not true in general. Surprisingly, it may happen that the space of all alpha-limitsets of interval maps is not closed in the Hausdorff metric (and thus some omega-limit sets are never obtained as alpha-limit sets). Moreover, we prove that the set of all recurrent points is closed if and only if the space of all alpha-limit sets is closed.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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