Induced Mappings Between Hyperspaces
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.
W. J. Charatonik, "Induced Mappings Between Hyperspaces," Bulletin of the Polish Academy of Sciences - Mathematics, Polskiej Akademii Nauk, Instytut Matematyczny, Jan 1998.
Mathematics and Statistics
Keywords and Phrases
continuum; hyperspace; induced; mapping
Article - Journal
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