arXiv Analytics

Sign in

arXiv:1812.08846 [math.GN]AbstractReferencesReviewsResources

A complete classification of hereditarily equivalent plane continua

L. C. Hoehn, L. G. Oversteegen

Published 2018-12-20Version 1

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.

Related articles: Most relevant | Search more
arXiv:1409.6324 [math.GN] (Published 2014-09-22)
A complete classification of homogeneous plane continua
arXiv:2003.06293 [math.GN] (Published 2020-03-13)
All $\mathbb Q$-gluons are homeomorphic
arXiv:1503.04229 [math.GN] (Published 2015-03-13)
On metrizable $X$ with $C_p(X)$ not homeomorphic to $C_p(X)\times C_p(X)$