Hereditarily indecomposable continuum
From HandWiki
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 |
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