Non-separating subcontinua of planar continua
Volume 141 / 2015
Colloquium Mathematicum 141 (2015), 143-148
MSC: Primary 54F15; Secondary 54D05, 54B05.
DOI: 10.4064/cm141-1-12
Abstract
We revisit an old question of Knaster by demonstrating that each non-degenerate plane hereditarily unicoherent continuum $X$ contains a proper, non-degenerate subcontinuum which does not separate $X$.