Screen LibraryOpen problems in topology II /
This volume is a collection of surveys of research problems in topology and its applications. The topics covered include general topology, set-theoretic topology, continuum theory, topological algebra, dynamical systems, computational topology and functional analysis. * New surveys of research probl...
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| Corporate Authors: | |
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| Group Author: | |
| Published: |
Elsevier,
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| Publisher Address: | Amsterdam ; Oxford : |
| Publication Dates: | 2007. |
| Literature type: | eBook |
| Language: | English |
| Edition: | First edition. |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/book/9780444522085 |
| Summary: |
This volume is a collection of surveys of research problems in topology and its applications. The topics covered include general topology, set-theoretic topology, continuum theory, topological algebra, dynamical systems, computational topology and functional analysis. * New surveys of research problems in topology * New perspectives on classic problems * Representative surveys of research groups from all around the world. |
| Carrier Form: | 1 online resource (xi, 763 pages) : illustrations |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
9780444522085 0444522085 9780080475295 0080475299 |
| Index Number: | QA611 |
| CLC: | O189 |
| Contents: | pt. 1. General topology -- Selected ordered space problems / Harold Bennett, David Lutzer -- Problems on star-covering properties / Maddalena Bonanzinga, Mikhail Matveev -- Function space topologies / Dimitris N. Georgiou, Stavros D. Iliadis, Frederic Mynard -- Spaces and mappings : special networks / Chuan Liu, Yoshio Tanaka -- Extension problems of real-valued continuous functions / Haruto Ohta, Kaori Yamazaki -- L(Sigma)(k)-spaces / Oleg Okunev -- Problems on (ir)resolvability / Oleg Pavlov -- Topological games and Ramsey theory / Marion Scheepers -- Selection principles and special sets of reals / Boaz Tsaban -- pt. 2. Set-theoretic topology -- Introduction : twenty problems in set-theoretic topology / Michael Hrusak, Justin Tatch Moore -- Thin-tall spaces and cardinal sequences / Joan Bagaria -- Sequential order / Alan Dow -- On D-spaces / Todd Eisworth -- The fourth head of (beta)N / Ilijas Farah -- Are stratifiable spaces M(subscript 1)? / Gary Gruenhage -- Perfect compacts and basis problems in topology / Gary Gruenhage, Justin Tatch Moore -- Selection problems for hyperspaces / Valentin Gutev, Tsugunori Nogura -- Efimov's problem / Klaas Pieter Hart -- Completely separable MAD families / Michael Hrusak, Petr Simon -- Good, splendid and Jakovlev / Istvan Juhasz, William A.R. Weiss -- Homogeneous compacta / Jan van Mill -- Compact spaces with hereditarily normal squares / Justin Tatch Moore -- The metrization problem for Frechet groups / Justin Tatch Moore, Stevo Todorcevic -- Cech-Stone remainders of discrete spaces / Peter J. Nyikos -- First countable, countably compact, noncompact spaces / Peter J. Nyikos -- Linearly Lindelof problems / Elliott Pearl -- Small Dowker spaces / Paul J. Szeptycki -- Reflection of topological properties to N(subscript 1) / Franklin D. Tall -- The Scarborough-Stone problem / Jerry E. Vaughan -- pt. 3. Continuum theory -- Questions in and out of context / David P. Bellamy -- An update on the elusive fixed-point property / Charles L. Hagopian -- Hyperspaces of continua / Alejandro Illanes -- Inverse limits and dynamical systems / W.T. Ingram -- Indecomposable continua / Wayne Lewis -- Open problems on dendroids / Veronica Martinez-de-la-Vega, Jorge M. Martinez-Montejano -- 1/2-Homogeneous continua / Sam B. Nadler, Jr. -- Thirty open problems in the theory of homogeneous continua / Janusz R. Prajs -- pt. 4. Topological algebra -- Problems about the uniform structures of topological groups / Ahmed Bouziad, Jean-Pierre Troallic -- On some special classes of continuous maps / Maria Manuel Clementino, Dirk Hofmann -- Dense subgroups of compact groups / W.W. Comfort -- Selected topics from the structure theory of topological groups / Dikran Dikranjan, Dmitri Shakhmatov -- Recent results and open questions relating Chu duality and Bohr compactifications of locally compact groups / Jorge Galindo, Salvador Hernandez, Ta-Sun Wu -- Topological transformation groups : selected topics / Michael Megrelishvili -- Forty-plus annotated questions about large topological groups / Vladimir Pestov -- pt. 5. Dynamical systems -- Minimal flows / William F. Basener, Kamlesh Parwani, Tamas Wiandt -- The dynamics of tiling spaces / Alex Clark -- Open problems in complex dynamics and "complex" topology / Robert L. Devaney -- The topology and dynamics of flows / Michael C. Sullivan -- pt. 6. Computer Science -- Computational topology / Denis Blackmore, Thomas J. Peters -- pt. 7. Functional analysis -- Non-smooth analysis, optimisation theory and Banach space theory / Jonathan M. Borwein, Warren B. Moors -- Topological structures of ordinary differential equations / V.V. Filippov -- The interplay between compact spaces and the Banach spaces of their continuous functions / Piotr Koszmider -- Tightness and t-equivalence / Oleg Okunev -- Topological problems in nonlinear and functional analysis / Biagio Ricceri -- Twenty questions on metacompactness in function spaces / V.V. Tkachuk -- pt. 8. Dimension theory -- Open problems in infinite-dimensional topology / Taras Banakh, Robert Cauty, Michael Zarichnyi -- Classical dimension theory / Vitalij A. Chatyrko -- Questions on weakly infinite-dimensional spaces / Vitalii V. Fedorchuk -- Some problems in the dimension theory of compacta / Boris A. Pasynkov -- pt. 9. Invited problems -- Problems from the Lviv topological seminar / Taras Banakh, Bohdan Bokalo, Igor Guran, Taras Radul, Michael Zarich-nyi -- Problems from the Bizerte-Sfax-Tunis seminar / Othman Echi, Habib Marzougui, Ezeddine Salhi -- Cantor set problems / Dennis J. Garity, Dusan Repovs -- Problems from the Galway topology colloquium / Chris Good, Andrew Marsh, Aisling McCluskey, Brian McMaster -- The lattice of quasi-uniformities / Eliza P. de Jager, Hans-Peter A. Kunzi -- Topology in North Bay : some problems in continuum theory, dimension theory and selections / Alexandre Karasev, Murat Tuncali, Vesko Valov -- Moscow questions on topological algebra / Konstantin L. Kozlov, Evgenii A. Reznich |