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arXiv · 1812.08846

A complete classification of hereditarily equivalent plane continua

L. C. Hoehn·L. G. Oversteegen
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Abstract

A continuum is hereditarily equivalent if it is homeomorphic to each of its non-degenerate sub-continua. We show in this paper that the arc and the pseudo-arc are the only non-degenerate hereditarily equivalent plane continua.

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L. C. Hoehn, L. G. Oversteegen. 2018-12-20. A complete classification of hereditarily equivalent plane continua. https://arxiv.org/abs/1812.08846

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