Continuous images of arcs and inverse limit methods. Memoirs of the American Mathematical Society; 498.

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

ISBN 10: 0821825615 / ISBN 13: 9780821825617

Published by Providence, American Mathematical Society, 1993

About this Item

Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-00767 9780821825617 Sprache: Englisch Gewicht in Gramm: 150.

Seller Inventory # 2484605

Bibliographic Details

• Title: Continuous images of arcs and inverse limit methods. Memoirs of the American Mathematical Society; 498.
• Publisher: Providence, American Mathematical Society
• Publication Date: 1993
• Language: English
• ISBN 10: 0821825615
• ISBN 13: 9780821825617
• Binding: Softcover
• Condition: Gut
• Weight: 150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

Continuous images of ordered continua have been studied intensively since 1960, when S. Mardsic 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.