We prove that the pseudo-arc has the following properties: is homogeneous; is homeomorphic to each of its non-degenerate subcontinua; is the unique chainable hereditarily indecomposable continuum; and is the unique chainable homogeneous continuum.

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Stronger Properties of the Pseudo-Arc

  • Alejandro Illanes

摘要

We prove that the pseudo-arc has the following properties: is homogeneous; is homeomorphic to each of its non-degenerate subcontinua; is the unique chainable hereditarily indecomposable continuum; and is the unique chainable homogeneous continuum.