ON THE DYNAMICS OF FLOWS ON COMPACT METRIC SPACES
In this paper, we consider a (generalized) envelope of flows on compact metric spaces. This partly generalizes the notion of envelope of maps in discrete geometry ([3]). We clarify a certain distinction between the flow geometry and the discrete one, which is explained by showing that any co-limit set for an envelope of flows is an empty set, whereas it is nonempty in general in discrete case.
- Publisher
- AMER INST MATHEMATICAL SCIENCES
- Issue Date
- 2010
- Language
- English
- Article Type
- Article
- Keywords
TOPOLOGICAL DYNAMICS; SEMIGROUP
- Citation
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v.9, no.1, pp.103 - 108
- ISSN
- 1534-0392
- Appears in Collection
- RIMS Journal Papers
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