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When is the beginning the end? On full trajectories, limit sets and internal chain transitivity.
- Source :
-
Topology & Its Applications . Feb2022, Vol. 306, pN.PAG-N.PAG. 1p. - Publication Year :
- 2022
-
Abstract
- Let f : X → X be a continuous map on a compact metric space X and let α f , ω f and I C T f denote the set of α -limit sets, ω -limit sets and nonempty closed internally chain transitive sets respectively. In this paper we characterise, by introducing novel variants of shadowing, maps for which every element of I C T f is equal to (resp. may be approximated by) the α -limit set and the ω -limit set of the same full trajectory. We construct examples highlighting the difference between these properties. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMMERCIAL space ventures
*COMPACT spaces (Topology)
Subjects
Details
- Language :
- English
- ISSN :
- 01668641
- Volume :
- 306
- Database :
- Academic Search Index
- Journal :
- Topology & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 154452692
- Full Text :
- https://doi.org/10.1016/j.topol.2021.107934