Problems on Hyperspace Retractions
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.
W. J. Charatonik and J. J. Charatonik, "Problems on Hyperspace Retractions," Continuum Theory (Lecture Notes in Pure and Applied Mathematics), Marcel Dekker, Jan 2002.
Mathematics and Statistics
Keywords and Phrases
Continuum; Curve; Dendroid; Mapping; Mean; Retraction; Selection; Hyperspace
Article - Journal
© 2002 Marcel Dekker, All rights reserved.