View source for Hereditarily indecomposable continuum

''Knaster continuum''

An [[Indecomposable continuum|indecomposable continuum]] in which every proper subcontinuum is also indecomposable.



====Comments====
A famous example is the [[Pseudo-arc|pseudo-arc]], see [[#References|[a1]]] and [[#References|[a2]]].

====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  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</TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top">  R.H. Bing,   "A homogeneous indecomposable plane continuum"  ''Duke Math. J.'' , '''15'''  (1948)  pp. 729–742</TD></TR></table>