Hereditarily indecomposable continuum
From Encyclopedia of Mathematics
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
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