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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
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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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Book by Nikiel Jacek Tuncali H M Tymchatyn E D

Reseña del editor:

Continuous images of ordered continua have been studied intensively since 1960, when S. Mard\v si\'c showed that the classical Hahn-Mazurkiewicz theorem does not generalize in the ``natural'' way to the nonmetric 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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