ROTH, Samuel Joshua. Dynamics on dendrites with closed endpoint sets. Nonlinear Analysis: Theory, Methods & Applications. Oxford (GB): PERGAMON-ELSEVIER SCIENCE LTD, vol. 195, No 111745, p. "111745-1"-"111745-13", 13 pp. ISSN 0362-546X. doi:10.1016/j.na.2020.111745. 2020.
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Basic information
Original name Dynamics on dendrites with closed endpoint sets
Authors ROTH, Samuel Joshua (840 United States of America, guarantor, belonging to the institution).
Edition Nonlinear Analysis: Theory, Methods & Applications, Oxford (GB), PERGAMON-ELSEVIER SCIENCE LTD, 2020, 0362-546X.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United Kingdom of Great Britain and Northern Ireland
Confidentiality degree is not subject to a state or trade secret
WWW Nonlinear Analysis: Theory, Methods & Applications
RIV identification code RIV/47813059:19610/20:A0000082
Organization unit Mathematical Institute in Opava
Doi http://dx.doi.org/10.1016/j.na.2020.111745
UT WoS 000522150400009
Keywords in English Dendrite; Isometric embedding; Li-Yorke chaos; Distributional chaos
Tags
Tags International impact, Reviewed
Changed by Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 6/4/2021 13:35.
Abstract
We construct dendrites with endpoint sets isometric to any totally disconnected compact metric space. This allows us to embed zero-dimensional dynamical systems into dendrites and solve a problem regarding Li-Yorke and distributional chaos.
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