Title

Inducible 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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

continuum; hyperspace; induced; mapping

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1998 Polskiej Akademii Nauk, Instytut Matematyczny, All rights reserved.

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