Atomoicity of mappings

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 in...

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Bibliographic Details
Main Authors: Janusz J. Charatonik, Włodzimierz J. Charatonik
Format: Article
Language:English
Published: Hindawi Limited 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117129800101X