J 2020

Dynamics on dendrites with closed endpoint sets

ROTH, Samuel Joshua

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

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

RIV identification code

RIV/47813059:19610/20:A0000082

Organization unit

Mathematical Institute in Opava

DOI

UT WoS

000522150400009

Keywords in English

Dendrite; Isometric embedding; Li-Yorke chaos; Distributional chaos

Tags

Tags

International impact, Reviewed
Změněno: 6/4/2021 13:35, Mgr. Aleš Ryšavý

Abstract

V originále

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.