Every Monotone Open 2-homogeneous Metric Continuum Is Locally Connected
It is observed that all results of Whittington's note  can be extended in two directions. The assumption of homogeneity of the considered spaces can be weakened to monotone open homogeneity, and homeomorphisms used in the results can be replaced by monotone open and closed mappings. In particular, the statement in the title is obtained.
J. J. Charatonik and W. J. Charatonik, "Every Monotone Open 2-homogeneous Metric Continuum Is Locally Connected," Rendiconti del Circolo Matematico di Palermo, Springer Verlag, Sep 2001.
The definitive version is available at http://dx.doi.org/10.1007/BF02844432
Mathematics and Statistics
Keywords and Phrases
continuum; homogeneous; locally connected; monotone; open; pseudo-arc
Article - Journal
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