Prolongational centers and their depths

• Autorzy: Boyang Ding , Changming Ding
• Języki publikacji: EN

Abstrakty

EN

In 1926 Birkhoff defined the center depth, one of the fundamental invariants that characterize the topological structure of a dynamical system. In this paper, we introduce the concepts of prolongational centers and their depths, which lead to a complete family of topological invariants. Some basic properties of the prolongational centers and their depths are established. Also, we construct a dynamical system in which the depth of a prolongational center is a prescribed countable ordinal.

Kategorie tematyczne

• 54H20: Topological dynamics
• 37B20: Notions of recurrence

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2016
• Tom: 234
• Numer: 3
• Strony: 287-296

Daty

wydano

2016

Twórcy

autor

Boyang Ding

• School of Economics, Zhejiang Gongshang University, Hangzhou, Zhejiang 310018, P.R. China

autor

Changming Ding

• School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, P.R. China

Identyfikatory

DOI

10.4064/fm22-10-2015