Pseudo-arc

In general topology, the pseudo-arc is the simplest nondegenerate hereditarily indecomposable continuum. The pseudo-arc is an arc-like homogeneous continuum. R.H. Bing proved that, in a certain well-defined sense, most continua in Rn, n ≥ 2, are homeomorphic to the pseudo-arc.

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Construction - Pseudo-arc
... That is, let The pseudo-arc is defined as follows Let p and q be distinct points in the plane and be a sequence of chains in the plane such that for each i, the first link ... Let Then P is a pseudo-arc ...