Dimension Theory A Selection of Theorems and Counterexamples
This book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case. Its distinctive feature is the emphasis on the negative results for more general spaces, presenting a readable account of numerous cou
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Michael G. Charalambous
Dimension Theory A Selection of Theorems and Counterexamples
Atlantis Studies in Mathematics Volume 7
Series Editor Jan van Mill, University of Amsterdam, Amsterdam, The Netherlands
Aims and Scope With this book series, we aim to publish monographs of high quality in all areas of mathematics. Both research monographs and books of an expository nature are welcome. This series is the continuation of the “Mathematics Studies”, previously published by Elsevier. All books published after November 2010 are promoted, distributed and sold by Springer, both as e-books and in print. The books are also part of SpringerLink and included in the relevant Springer subject collections. All book proposals submitted to this series will be reviewed by the Series Editor. After the manuscript has been completed, it will be entirely reviewed by one of our editors or reviewers. Only after this review will the book be published.
More information about this series at http://www.springer.com/series/10070
Michael G. Charalambous
Dimension Theory A Selection of Theorems and Counterexamples
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Michael G. Charalambous Department of Mathematics University of the Aegean Karlovassi, Samos, Greece
ISSN 1875-7634 ISSN 2215-1885 (electronic) Atlantis Studies in Mathematics ISBN 978-3-030-22231-4 ISBN 978-3-030-22232-1 (eBook) https://doi.org/10.1007/978-3-030-22232-1 Mathematics Subject Classification (2010): 54F45, 54E35, 54Exx, 54-XX © Springer Nature Switzerland AG 2019 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. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
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Preface
Dimension theory is a branch of topology that concerns itself with the properties of certain functions d that assign to a topological space X a membe
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