Prolongational centers and their depths

Boyang Ding, and Changming Ding. "Prolongational centers and their depths." Fundamenta Mathematicae 234.3 (2016): 287-296. <http://eudml.org/doc/286526>.

@article{BoyangDing2016,
abstract = {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.},
author = {Boyang Ding, Changming Ding},
journal = {Fundamenta Mathematicae},
keywords = {prolongational (Auslander) recurrence; prolongational center; center depth},
language = {eng},
number = {3},
pages = {287-296},
title = {Prolongational centers and their depths},
url = {http://eudml.org/doc/286526},
volume = {234},
year = {2016},
}

TY - JOUR
AU - Boyang Ding
AU - Changming Ding
TI - Prolongational centers and their depths
JO - Fundamenta Mathematicae
PY - 2016
VL - 234
IS - 3
SP - 287
EP - 296
AB - 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.
LA - eng
KW - prolongational (Auslander) recurrence; prolongational center; center depth
UR - http://eudml.org/doc/286526
ER -