Atomoicity of mappings

Janusz J. Charatonik and Włodzimierz J. Charatonik

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-6

Abstract:

A mapping f : X → Y between continua X and Y is said to be atomic at a subcontinuum K 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.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:956870

DOI: 10.1155/S016117129800101X

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