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A point of a locally compact separable metric space is a
*local separating point* of provided there exists an open
set of containing and two points and of the
component containing of such that
is the sum of two mutually separated point sets, one containing
and the other containing .

** Next:** MO-mapping
**Up:** Definitions
** Previous:** local homeomorphism
*Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih*

*2001-11-30*