# Nonmetrizable topological dynamical characterization of central sets

Fundamenta Mathematicae (1996)

- Volume: 150, Issue: 1, page 1-9
- ISSN: 0016-2736

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topShi, Hong-Ting, and Yang, Hong-Wei. "Nonmetrizable topological dynamical characterization of central sets." Fundamenta Mathematicae 150.1 (1996): 1-9. <http://eudml.org/doc/212160>.

@article{Shi1996,

abstract = {Without the restriction of metrizability, topological dynamical systems $(X,⟨ T_s⟩_\{s ∈ G\})$ are defined and uniform recurrence and proximality are studied. Some well known results are generalized and some new results are obtained. In particular, a topological dynamical characterization of central sets in an arbitrary semigroup (G,+) is given and shown to be equivalent to the usual algebraic characterization.},

author = {Shi, Hong-Ting, Yang, Hong-Wei},

journal = {Fundamenta Mathematicae},

keywords = {topological dynamical system; enveloping semigroup; uniform recurrence; proximality; minimal idempotent; central subset},

language = {eng},

number = {1},

pages = {1-9},

title = {Nonmetrizable topological dynamical characterization of central sets},

url = {http://eudml.org/doc/212160},

volume = {150},

year = {1996},

}

TY - JOUR

AU - Shi, Hong-Ting

AU - Yang, Hong-Wei

TI - Nonmetrizable topological dynamical characterization of central sets

JO - Fundamenta Mathematicae

PY - 1996

VL - 150

IS - 1

SP - 1

EP - 9

AB - Without the restriction of metrizability, topological dynamical systems $(X,⟨ T_s⟩_{s ∈ G})$ are defined and uniform recurrence and proximality are studied. Some well known results are generalized and some new results are obtained. In particular, a topological dynamical characterization of central sets in an arbitrary semigroup (G,+) is given and shown to be equivalent to the usual algebraic characterization.

LA - eng

KW - topological dynamical system; enveloping semigroup; uniform recurrence; proximality; minimal idempotent; central subset

UR - http://eudml.org/doc/212160

ER -

## References

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