Topology Atlas Document # iaaz-19
pp. v-vi in Problems from Topology Proceedings, Topology Atlas, 2003.
I hope that this collection of problems will be an interesting and useful resource for researchers.
This volume consists of material from the Problem Section of the journal Topology Proceedings originally collected and edited by Peter Nyikos and subsequently edited by Elliott Pearl for this publication. This volume also contains some other well-known problems lists that have appeared in Topology Proceedings.
Some warnings and acknowledgments are in order.
I have made some changes to the original source material. The original wording of the problems is mostly intact. I have rewritten many of the solutions, originally contributed by Peter Nyikos, in order to give a more uniform current presentation. I have contributed some new reports of solutions. I have often taken wording from abstracts of articles and from reviews (Mathematical Reviews and Zentralblatt MATH) without specific attribution. In cases where the person submitting a problem was not responsible for first asking the problem, I have tried to provide a reference to the original source of the problem.
Regrettably, I cannot guarantee that all assumptions regarding lower separation axioms have been reported accurately from the original sources.
Some portions of this volume have been checked by experts for accuracy of updates and transcription.
I have corrected some typographical errors from the original source material. I have surely introduced new typographical errors during the process of typesetting the original documents.
The large bibliography sections were prepared using some of the features of MathSciNet and Zentralblatt MATH.
No index has been prepared for this volume. This volume is distributed in several electronic formats some of which are searchable with viewing applications.
I thank York University for access to online resources. I thank York University and the University of Toronto for access to their libraries.
I thank Dmitri Shakhmatov and Stephen Watson for developing Topology Atlas as a research tool for the community of topologists.
I thank Gary Gruenhage, John C. Mayer, Peter Nyikos, Murat Tuncali and the editorial board of Topology Proceedings for permission to reprint this material from Topology Proceedings and to proceed with this publishing project.
I thank Peter Nyikos for maintaining the problem section for twenty years.
The material from Mary Ellen Rudin's Lecture notes in set-theoretic topology are distributed with the permission of the American Mathematical Society.
A.V. Arhangel'skii has given his permission to include in this volume the material from his survey article Structure and classification of topological spaces and cardinal invariants.
The chapter Problems in continuum theory consists of material from the article Several old and new problems in continuum theory by Janusz J. Charatonik and Janusz R. Prajs and from the website that they maintain. This material is distributed with the permission of the authors.
The original essay The plane fixed-point problem by Charles Hagopian is distributed with the permission of the author.
The original essays On an old problem of Knaster and Means on arc-like continua by Janusz J. Charatonik are distributed with the permission of the author.
The original essay Expansive diffeomorphisms on 3-manifolds by José Vieitez is distributed with the permission of the author.
I thank many people for contributing solutions and checking portions (small and large) of this edition: A.V. Arhangel'skii, Christoph Bandt, Paul Bankston, Carlos Borges, Raushan Buzyakova, Dennis Burke, Max Burke, Janusz Charatonik, Chris Ciesielski, Sheldon Davis, Alan Dow, Alexander Dranishnikov, Todd Eisworth, Gary Gruenhage, Charles Hagopian, K.P. Hart, Oleg Okunev, Piotr Koszmider, Paul Latiolais, Arkady Leiderman, Ronnie Levy, Wayne Lewis, Lew Ludwig, David Lutzer, Mikhail Matveev, Justin Moore, Grzegorz Plebanek, Janusz Prajs, Jim Rogers, Andrzej Roslanowski, Mary Ellen Rudin, Masami Sakai, John Schommer, Dmitri Shakhmatov, Weixiao Shen, Alex Shibakov, Petr Simon, Greg Swiatek, Paul Szeptycki, Frank Tall, Gino Tironi, Artur Tomita, Vassilis Tzannes, Vladimir Uspenskij, W.R. Utz, Stephen Watson, Bob Williams, Scott Williams.
I welcome any corrections or new information on solutions. Indeed, I hope to use your contributions to prepare a revised edition of this volume.
Copyright © 2003. Published by Topology Atlas.