Irreducible continuum
From Encyclopedia of Mathematics
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=15992
Irreducible continuum. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Irreducible_continuum&oldid=15992
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