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Continuous Images of Arcs and Inverse Limit Methods (Memoirs of the American Mathematical Society, No. 498)

Jacek Nikiel , H. M. Tuncali , E. D. Tymchatyn

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ISBN 10: 0821825615 / ISBN 13: 9780821825617
Editorial: Amer Mathematical Society, 1993
Usado Condición: Very Good
Librería: Zubal-Books (Cleveland, OH, Estados Unidos de America)

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80 pp., Paperback, very good. N° de ref. de la librería ZB760738

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Título: Continuous Images of Arcs and Inverse Limit ...

Editorial: Amer Mathematical Society

Año de publicación: 1993

Condición del libro:Very Good

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Sinopsis:

Continuous images of ordered continua have been studied intensively since 1960, when S. Mardsic showed that the classical Hahn-Mazukiewicz theorem does not generalize in the 'natural' way to the non metric case. In 1986, Nikiel characterized acyclic images of arcs as continua which can be approximated from within by a sequence of well-placed subsets which he called T-sets. That characterization has been used to answer a host of outstanding questions in the area. In this book, Nikiel, Tymchatyn, and Tuncali study images of arcs using T-set approximations and inverse limits with monotone bonding maps. A number of important theorems on Peano continua are extended to images of arcs. Some of the results presented here are new even in the metric case.

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