Open Mappings Increasing Order

Author

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

Abstract

It is shown that an analog of Whyburn's theorem saying that open mappings do not increase order of a point of locally compact metric spaces is not true if the Menger-Urysohn order is replaced by order in the classical sense. On the other hand, this analog is true, even for a wider class of confluent mappings, under an additional condition that the mapping is light and the domain continuum is hereditarily unicoherent.

Recommended Citation

J. J. Charatonik and W. J. Charatonik, "Open Mappings Increasing Order," Proceedings of the American Mathematical Society, American Mathematical Society, Jan 1997.

The definitive version is available at https://doi.org/10.1090/S0002-9939-97-04096-3

Department(s)

Mathematics and Statistics

Keywords and Phrases

classical sense; confluent; continuum; dendroid; light; open mapping; order; smooth

International Standard Serial Number (ISSN)

0002-9939

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1997 American Mathematical Society, All rights reserved.

Publication Date

01 Jan 1997