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Hereditarily indecomposable continuum

From Encyclopedia of Mathematics
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Knaster continuum

An indecomposable continuum in which every proper subcontinuum is also indecomposable.


Comments

A famous example is the pseudo-arc, see [a1] and [a2].

References

[a1] E.E. Moise, "An indecomposable plane continuum which is homeomorphic to each of its non-degenerate subcontinua" Trans. Amer. Math. Soc. , 63 (1948) pp. 581–594
[a2] R.H. Bing, "A homogeneous indecomposable plane continuum" Duke Math. J. , 15 (1948) pp. 729–742
How to Cite This Entry:
Hereditarily indecomposable continuum. A.A. Mal'tsev (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Hereditarily_indecomposable_continuum&oldid=13026
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098