Topics on Continua
This book is a significant companion text to the existing literature on continuum theory. It opens with background information of continuum theory, so often missing from the preceding publications, and then explores the following topics: inverse limits, t
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Topics on Continua Second Edition
Topics on Continua
Sergio Macías
Topics on Continua Second Edition
123
Sergio Macías Instituto de Matemáticas Universidad Nacional Autónoma de México Ciudad de México, México
The year of the former edition (2005) as well as the original title “Topics in Continua” and the original Publisher “Chapman & Hall/CRC”. ISBN 978-3-319-90901-1 ISBN 978-3-319-90902-8 (eBook) https://doi.org/10.1007/978-3-319-90902-8 Library of Congress Control Number: 2018943456 Mathematics Subject Classification (2010): 54B15, 54B20, 54C05, 54E35, 54E40, 54F15, 58E40 © Springer International Publishing AG, part of Springer Nature 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by the registered company Springer International Publishing AG part of Springer Nature. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
To Elsa
León Felipe escribió un tributo, no al héroe de la historia, sino a su fiel caballo Rocinante, quien lo llevó en su lomo por las tierras de España. El héroe es, por supuesto, Don Quijote de la Mancha: “El Caballero de la Triste Figura” ¡Yo quería ese nombre! pero me lo ganaron, llegué a este mundo casi trescientos cincuenta años tarde. . . Ya sólo me queda ser: “El Caballero de la Triste Locura. . .” S. M.
Preface to the Second Edition
After 12 years of the publication of Topics on Continua many things have happened. As it is well known, it is impossible to include everything. This Second Edition contains two new chapters which appear for the first time in a book, namely: nfold Hyperspace Suspensions and Induced Maps on n-fold Hyperspaces. We include recent developments. The first two chapters have very few modifications. In the first one, we prepare the way to prove the monotone-light factorization theorem, which appears later in
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