On Open Mappings of Compactifications of the Ray onto an Arc

Abstract

The existence of an open mapping from a compactification of a ray onto the closed unit interval [0, 1] is investigated. The main theorem says that such an open mapping does exist if only if there is a confluent mapping of the remainder onto [0, 1].

Department(s)

Mathematics and Statistics

Keywords and Phrases

arc; confluent; continuum; mapping; open; ray; unit interval

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2002 Polish Academy of Sciences, All rights reserved.

Publication Date

01 Jan 2002

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