Pseudo-arc
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Pseudo-arc

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High Quality Content by WIKIPEDIA articles! In general topology, the pseudo-arc is the simplest nondegenerate hereditarily indecomposable continuum. It was first discovered by the renowned Polish topologist Bronis aw Knaster. The following definitions are, with slight modifications, due to Wayne Lewis (see the references section below). Other definitions have appeared in papers by R.H. Bing and Edwin E. Moise; they yield homeomorphic spaces. While being the simplest of the type of spaces listed above, the pseudo-arc is actually very complex. The concept of a chain being crooked (defined below)...