Abstract

A mapping f:X→Y between continua X and Y is said to be atomic at a subcontinuumK of the domain X provided that f(K) is nondegenerate and K=f-1(f(K)). The set of subcontinua at which a given mapping is atomic, considered as a subspace of the hyperspace of all subcontinua of X, is studied. The introduced concept is applied to get new characterizations of atomic and monotone mappings. Some related questions are asked.

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0161-1712

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 1998 Hindawi Publishing Corporation, All rights reserved.

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