Problems on Hyperspace Retractions

Author

W. J. Charatonik, Missouri University of Science and TechnologyFollow
J. J. Charatonik

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.

Recommended Citation

W. J. Charatonik and J. J. Charatonik, "Problems on Hyperspace Retractions," Continuum Theory (Lecture Notes in Pure and Applied Mathematics), Marcel Dekker, Jan 2002.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Continuum; Curve; Dendroid; Mapping; Mean; Retraction; Selection; Hyperspace

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2002 Marcel Dekker, All rights reserved.

Publication Date

01 Jan 2002