2025
On ωNT-limit sets and transitive compact systems
ZÁŠKOLNÁ, MichaelaBasic information
Original name
On ωNT-limit sets and transitive compact systems
Authors
ZÁŠKOLNÁ, Michaela
Edition
Topology and its Applications, Amsterdam (Netherlands), Elsevier B.V. 2025, 0166-8641
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
Netherlands
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 0.500 in 2024
Marked to be transferred to RIV
Yes
RIV identification code
RIV/47813059:19610/25:A0000192
Organization unit
Mathematical Institute in Opava
UT WoS
EID Scopus
Keywords in English
Chaos; Dynamical compactness; Dynamical topology; Transitive compactness; Transitive systems; ω-limit set; ωN-limit set
Tags
Tags
International impact, Reviewed
Changed: 3/3/2026 12:43, Mgr. Aleš Ryšavý
Abstract
In the original language
In the year 2016 Wen Huang, Danylo Khilko, Sergii Kolyada and Guohua Zhang published an article on dynamical compactness and sensitivity where they introduced the concept of ωNT-limit sets and transitive compactness to connect the Auslander point dynamics with topological transitivity. In this paper we study the properties of ωNT-limit sets of chaotic dynamical systems (X,T) given by a compact metric space X and a surjective map T : X -> X and show that if we restrict ourselves to interval mappings, then transitive compactness and weak mixing are equivalent. Lastly, we discuss open problems.