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Monotone mappings and unicoherence at subcontinua

โœ Scribed by Janusz J. Charatonik

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
354 KB
Volume
33
Category
Article
ISSN
0166-8641

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โœฆ Synopsis

It is shown that unicoherence at subcontinua is preserved under a new class of mappings between metric continua which comprises the class of monotone and the class of hereditarily confluent mappings, while it is not preserved under open finite-to-one mappings or under quasi-monotone mappings even between linear graphs.

๐Ÿ“œ SIMILAR VOLUMES

A relationship between pseudomonotone an
A relationship between pseudomonotone and monotone mappings
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## It is well known that monotonicity of a mapping implies its pseudomonotonicity. The purpose of this note is to study the situations under which pseudomonotonicity of a mapping implies its monotonicity. (~) 2004 Elsevier Ltd. All rights reserved.

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A mapping between continua is said to be feebly monotone if whenever the range is the union of two proper subcontinua, their preimages are connected. Basic properties of these mappings and their connections with related classes of mappings are investigated. Further, some special properties of contin