Inhomogeneities in chainable continua

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA22024TP" target="_blank" >RIV/61988987:17610/21:A22024TP - isvavai.cz</a>
Result on the web
<a href="https://www.impan.pl/en/publishing-house/journals-and-series/fundamenta-mathematicae/online/113766/inhomogeneities-in-chainable-continua" target="_blank" >https://www.impan.pl/en/publishing-house/journals-and-series/fundamenta-mathematicae/online/113766/inhomogeneities-in-chainable-continua</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Inhomogeneities in chainable continua
Original language description
We study a class of chainable continua which contains, among others, all inverse limit spaces generated by a single interval bonding map which is piecewise monotone and locally eventually onto. Such spaces are realized as attractors of non-hyperbolic surface homeomorphisms. Using dynamical properties of the bonding map, we give conditions for existence of endpoints, characterize the set of local inhomogeneities, and determine when it consists only of endpoints. As a side product we also obtain a characterization of arcs as inverse limits for piecewise monotone bonding maps, which is interesting in its own right.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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