next up previous contents index
Next: MO-mapping Up: Definitions Previous: local homeomorphism

local separating point

A point p$ of a locally compact separable metric space L$ is a local separating point of L$ provided there exists an open set U$ of L$ containing p$ and two points x$ and y$ of the component containing p$ of U$ such that U \setminus \{ p \}$ is the sum of two mutually separated point sets, one containing x$ and the other containing y$.
next up previous contents index
Next: MO-mapping Up: Definitions Previous: local homeomorphism
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30