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A continuum
is semi-locally connected at the
point
if, for every domain
containing
, there
exits a domain
lying in
and containing
such that
has only a finite number of components. A
continuum is totally non-semi-locally connected if it is
not semi-locally connected at any point.
Next: simple closed curve
Up: Definitions
Previous: semi-continuous
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30