Index Analysis Approach Theory at Work
A featured review of the AMS describes the author’s earlier work in the field of approach spaces as, ‘A landmark in the history of general topology’. In this book, the author has expanded this study further and taken it in a new and exciting directio
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R. Lowen
Index Analysis Approach Theory at Work
Springer Monographs in Mathematics
More information about this series at http://www.springer.com/series/3733
R. Lowen
Index Analysis Approach Theory at Work
123
R. Lowen Department of Mathematics and Computer Science University of Antwerp Antwerp Belgium
ISSN 1439-7382 ISBN 978-1-4471-6484-5 DOI 10.1007/978-1-4471-6485-2
ISSN 2196-9922 (electronic) ISBN 978-1-4471-6485-2 (eBook)
Library of Congress Control Number: 2014942538 Mathematics Subject Classification: 06B35, 06D22, 18B30, 18B99, 45A03, 46A19, 46B04, 46M15, 54A05, 54B20, 54B30, 54D30, 54D35, 54E35, 54E99, 60B10, 60F05, 68N30, 68Q99 Springer London Heidelberg New York Dordrecht Ó Springer-Verlag London 2015 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
I dedicate this book to my dear friend and colleague Horst Herrlich for all his support and encouragement and for the inspiration I have always found in his fundamental and beautiful mathematical work
Preface
The essence of mathematics lies in its freedom. (Georg Cantor) The moving power of mathematical invention is not reasoning but imagination. (Augustus De Morgan) Approach theory was introduced in a series of papers which appeared between 1988 and 1995, and I refer to the bibliography for d
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