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 [34, p. 298]).