Title

Images of the Cantor Fan

Abstract

Structural characterizations are obtained of images of the Cantor fan (i.e., the cone over the Cantor set) under mappings that belong to one of the following classes: confluent, open, monotone, retractions, light, and any intersections of these. A necessary and sufficient condition is shown under which there exists a monotone mapping from an arbitrary fan onto an arc.

Department(s)

Mathematics and Statistics

Keywords and Phrases

image; light; open; arc; fan; end point; monotone; dendroid; retract; smooth; property of Kelley; Cantor fan; continuous; confluent

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1989 Elsevier, All rights reserved.

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