Every Monotone Open 2-homogeneous Metric Continuum Is Locally Connected

Author

J. J. Charatonik
W. J. Charatonik, Missouri University of Science and TechnologyFollow

Abstract

It is observed that all results of Whittington's note [17] 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.

Recommended Citation

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 https://doi.org/10.1007/BF02844432

Department(s)

Mathematics and Statistics

Keywords and Phrases

continuum; homogeneous; locally connected; monotone; open; pseudo-arc

International Standard Serial Number (ISSN)

0009-725X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2001 Springer Verlag, All rights reserved.

Publication Date

01 Sep 2001