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smooth (dendroid)

A dendroid X$ is said to be smooth at a point p \in X$ provided that for each point x\in X$ and for each sequence of points \{x_n\}$ in X$ tending to x$, the sequence of arcs px_n$ tends to the arc px$. A dendroid X$ is said to be smooth provided that it is smooth at some point p \in X$ (see [Charatonik et al. 1970, p. 298]).
next up previous contents index
Next: strongly chaotic Up: Definitions Previous: shore point
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30