Title

Problems on Hyperspace Retractions

Abstract

Unsolved problems concerning hyperspace retractions for curves, dispersed in the literature, are recalled and discussed, and various interrelations between them are indicated. A particular attention is paid to retractions satisfying some additional conditions, to continuous selections on the hyperspace of subcontinua of a given curve, and to associative means, understood as a special retraction on the hyperspace of the at most two-point sets.

Department(s)

Mathematics and Statistics

Keywords and Phrases

continuum; curve; dendroid; mapping; mean; retraction; selection

Library of Congress Subject Headings

Hyperspace

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2002 Marcel Dekker, All rights reserved.

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