A complete classification of hereditarily equivalent plane continua
classification
🧮 math.GN
keywords
equivalenthereditarilycontinuanon-degenerateplaneclassificationcompletecontinuum
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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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