On Open Mappings of Compactifications of the Ray onto an Arc
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].
J. J. Charatonik et al., "On Open Mappings of Compactifications of the Ray onto an Arc," Bulletin of the Polish Academy of Sciences Mathematics, Polish Academy of Sciences, Jan 2002.
Mathematics and Statistics
Keywords and Phrases
arc; confluent; continuum; mapping; open; ray; unit interval
Article - Journal
© 2002 Polish Academy of Sciences, All rights reserved.