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Open 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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Pearl, Elliott
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; Oxford : Elsevier, 2007.
Edición:1st ed.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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. Reznichenko, Ol'ga V. Sipacheva
  • Some problems from George Mason University / John Kulesza, Ronnie Levy, Mikhail Matveev
  • Some problems on generalized metrizable spaces / Shou Lin
  • Problems from the Madrid Department of Geometry and Topology / Jose M.R. Sanjurjo
  • Cardinal sequences and universal spaces / Lajos Soukup.