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semi-locally connected

A continuum M$ is semi-locally connected at the point p$ if, for every domain D$ containing p$, there exits a domain E$ lying in D$ and containing p$ such that M \setminus E$ 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 up previous contents index
Next: simple closed curve Up: Definitions Previous: semi-continuous
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30