Induced Mappings Between Hyperspaces
Abstract
Given a continuum X we denote by 2x and C(X) the hyperspace of all nonempty compact subsets and of all nonempty sub continua of X. For any two continua X and Y and a mapping f : X -+ Y let 2' and CU) stand for the induced mappings between corresponding hyperspaces. A mapping 9 between the hyperspaces is inducible if there exists a mapping f such that 9 = 2' or 9 = CU), respectively. Necessary and sufficient conditions are shown under which a given mapping 9 is inducible.
Recommended Citation
W. J. Charatonik, "Induced Mappings Between Hyperspaces," Bulletin of the Polish Academy of Sciences - Mathematics, Polskiej Akademii Nauk, Instytut Matematyczny, Jan 1998.
Department(s)
Mathematics and Statistics
Keywords and Phrases
continuum; hyperspace; induced; mapping
International Standard Serial Number (ISSN)
0239-7269
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 1998 Polskiej Akademii Nauk, Instytut Matematyczny, All rights reserved.
Publication Date
01 Jan 1998
