Title

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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

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

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1997 American Mathematical Society, All rights reserved.

Share

 
COinS