Arrangements, Equivariant Maps and Partitions of Measures by k-Fans
We study topological and combinatorial structures that arise in the problem of finding α-partitions of m spherical measures by k-fans. An elegant construction of I. Bárány and J. Matoušek, [[3] ], [[4] ], shows that this problem can be reduced to the ques
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Editorial Board R.L. Graham, La Jolla B. Korte, Bonn L. Lov´asz, Budapest A. Wigderson, Princeton G.M. Ziegler, Berlin
Springer-Verlag Berlin Heidelberg GmbH
Boris Aronov • Saugata Basu J´anos Pach • Micha Sharir Editors
Discrete and Computational Geometry The Goodman-Pollack Festschrift With 287 Figures
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Editors Boris Aronov
J´anos Pach
Department of Computer and Information Science Polytechnic University Six MetroTech Center Brooklyn, NY 11201, USA e-mail: [email protected]
City College and Courant Institute 251 Mercer St. New York, NY 10012, USA e-mail: [email protected] Micha Sharir
Saugata Basu
School of Computer Science Tel Aviv University Tel Aviv 69978, Israel e-mail: [email protected]
School of Mathematics Georgia Institute of Technology Atlanta, GA 30332-0160, USA e-mail: [email protected]
Cataloging-in-Publication Data applied for Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at .
Mathematics Subject Classification (2000): 52-XX, 68-XX, 05-XX, 14-XX, 57-XX, 60-02 ISSN 0937-5511 ISBN 978-3-642-62442-1 DOI 10.1007/978-3-642-55566-4
ISBN 978-3-642-55566-4 (eBook)
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© Springer-Verlag Berlin Heidelberg 2003 Originally published by Springer-Verlag Berlin Heidelberg New York in 2003 Softcover reprint of the hardcover 1st edition 2003
The use of general descriptive names, registered names, trademarks, 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. Typeset by the authors. Edited and reformatted by Kurt Mattes, Heidelberg, using a Springer LATEX macro package Cover design: design & production GmbH, Heidelberg Printed on acid-free paper
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Preface
Eli Goodman and Ricky Pollack were born at about the same time and brought up in the same city, within the same social milieu. They had many musical, literary, and scientific interests in common that drew them to the same events and locations. Their orbits were bound to intersect. Precisely where and when it happened, they disagree. Was it at a concert in the late fifties? In a group of bridge enthusiasts? Or perhaps a little later, at the Heights campus of New York University, where each of them taught? In fact, Eli and
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