Open problems in topology II / edited by Elliott Pearl.
2007
QA611 .O562 2007eb
Formats
| Format | |
|---|---|
| BibTeX | |
| MARCXML | |
| TextMARC | |
| MARC | |
| DublinCore | |
| EndNote | |
| NLM | |
| RefWorks | |
| RIS | |
Title
Open problems in topology II / edited by Elliott Pearl.
Edition
1st ed.
ISBN
9780444522085
0444522085
9780080475295 (electronic bk.)
0080475299 (electronic bk.)
9780080475325
0444522085
9780080475295 (electronic bk.)
0080475299 (electronic bk.)
9780080475325
Imprint
Amsterdam ; Oxford : Elsevier, 2007.
Language
English
Description
1 online resource (xi, 763 pages) : illustrations
Call Number
QA611 .O562 2007eb
System Control No.
(OCoLC)162136062
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Formatted Contents Note
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.
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.
Source of Description
Print version record.
Added Author
Available in Other Form
Print version: Open problems in topology II. 1st ed. Amsterdam ; Oxford : Elsevier, 2007
Linked Resources
Record Appears in