Open problems in topology II (Elsevier, 2007)
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
Includes bibliographical references and index
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 --