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orbit

Given a space X$ let \mathcal H(X)$ stand for the group of autohomeomorphisms of X$. If a point p \in X$ is fixed, then \{h(p) \in X: h \in \mathcal H(X)\}$ is called an orbit of p$. Orbits of points of X$ either are mutually disjoint or coincide, and their union is the whole X$.
next up previous contents index
Next: order Up: Definitions Previous: openly minimal
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30