Continuous Images of Arcs and Inverse Limit Methods

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Continuous Images of Arcs and Inverse Limit Methods is written by Jacek Nikiel and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 0821825615 (ISBN 10) and 9780821825617 (ISBN 13).

Continuous images of ordered continua are investigated. The paper gives various properties of their monotone images and inverse limits of their inverse systems (or sequences) with monotone bonding surjections. Some factorization theorems are provided. Special attention is given to one-dimensional spaces which are continuous images of arcs and, among them, various classes of rim-finite continua. The methods of proofs include cyclic element theory, T-set approximations and null-family decompositions. The paper brings also new properties of cyclic elements and T-sets in locally connected continua, in general.