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...
Clasificación: | Libro Electrónico |
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Otros Autores: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Amsterdam ; Oxford :
Elsevier,
2007.
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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.