A non-metric perfectly normal hereditarily indecomposable continuum

作者：Greiwe Regina; Smith Michel^*; Stone Jennifer

来源：Topology and Its Applications, 2012, 159(5): 1277-1287.

DOI：10.1016/j.topol.2011.11.051

• Indecomposable continuum
• Hereditarily indecomposable continua
• Composant
• Pseudo-arc
• Non-metric continua
• Perfectly normal

We construct an example of a non-metric perfectly normal hereditarily indecomposable continuum. The example is constructed as an inverse limit of non-metric analogues of solenoids. Theorems needed to insure perfect normality are stated and proven. It is shown that the example cannot be embedded in a countable product of Hausdorff arcs.

• 出版日期2012-3-15