Open Mappings Increasing Order
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
