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Irreducible continuum

From Encyclopedia of Mathematics
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A non-degenerate continuum that is irreducible between a certain pair of points, that is, does not contain any proper subcontinuum containing these points.


Comments

An example is the famous curve of : it is the subset of the plane. This curve is irreducible between the points and .

References

[a1] K. Kuratowski, "Topology" , 2 , Acad. Press (1968) (Translated from French)
How to Cite This Entry:
Irreducible continuum. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Irreducible_continuum&oldid=47433
This article was adapted from an original article by A.A. Mal'tsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article