f -膨胀变换群

General Topology and its Applications Pub Date : 1979-02-01 DOI:10.1016/0016-660X(79)90029-1

H.B. Keynes , M. Sears

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引用次数: 15

摘要

本文在Bowen和Walters先前对实际流的研究基础上，对作用群上连续函数族的f展开进行了初步研究。建立了非平凡同态的基本性质，并对非平凡同态在自然类中的展开进行了广泛的研究。最后，研究了离散流在符号子移中的展开式建模。指出了对Rn和Zn的推广。

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F-Expansive transformation groups

An initial investigation in $F$ -expansion relative to families of continuous functions on the acting group is presented, modelled after previous work of Bowen and Walters on real flows. Basic properties are established, and expansion in the natural class of non-trivial homomorphisms is extensively studied. Finally, modelling discrete flows with such expansion in symbolic subshifts is investigated. Generalizations to Rⁿ and Zⁿ are indicated.

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General Topology and its Applications

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