Impact Factor

Nikita Shekutkovski

1000 Skopje, Republic of Macedonia
Sts. Cyril and Methodius University


Shekutkovski N.
One Property of Components of a Chain Recurrent Set
2015, vol. 20, no. 2, pp.  184-188
For flows defined on a compact manifold with or without boundary, it is shown that the connectivity components of a chain recurrent set possess a stronger connectivity known as joinability (or pointed 1-movability in the sense of Borsuk). As a consequence, the Vietoris–van Dantzig solenoid cannot be a component of a chain recurrent set, although the solenoid appears as a minimal set of a flow.
Keywords: chain recurrent set, continuity in a covering, pointed 1-movability, joinability
Citation: Shekutkovski N.,  One Property of Components of a Chain Recurrent Set, Regular and Chaotic Dynamics, 2015, vol. 20, no. 2, pp. 184-188

Back to the list