Open problems in topology  [1] ~ 2

edited by Jan van Mill, George M. Reed

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. It contains new surveys of research problems in topology. It gives new perspectives on classic problems and presents representative surveys of research groups from all around the world.

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  • Part 1. General Topology 1. Selected ordered space problems (H. Bennett and D. Lutzer) 2. Problems on star-covering properties (M. Bonanzinga and M. Matveev) 3. Function space topologies (D.N. Georgiou, S.D. Iliadis and F. Mynard) 4. Spaces and mappings: special networks (C. Liu and Y. Tanaka) 5. Extension problems of real-valued continuous functions (H. Ohta and K. Yamazaki) 6. LE(k)-spaces (O. Okunev) 7. Problems on (ir) resolvability (O. Pavlov) 8. Topological games and Ramsey theory (M. Scheepers) 9. Selection principles and special sets of reals (B. Tsaban) Part 2. Set-theoretic Topology 10. Introduction: Twenty problems in set-theoretic topology (M. Hrusak and J.T. Moore) 11. Thin-tall spaces and cardinal sequences (J. Bagaria) 12. Sequential order (A. Dow) 13. On D-spaces (T. Eisworth) 14. The fourth head of BN (I. Farah) 15. Are stratifiable spaces M1? (G. Gruenhage) 16. Perfect compacta and basis problems in topology (G. Gruenhage and J.T. Moore) 17. Selection problems for hyperspaces (V. Gutev and T. Nogura) 18. Efimov's problem (K.P. Hart) 19. Completely separable MAD families (M. Hrusak and P. Simon) 20. Good, splendid and Jakovlev (I. Juhasz and W.A.R. Weiss) 21. Homogeneous compacta (J. van Mill) 22. Compact spaces with hereditarily normal squares (J.T. Moore) 23. The metrization problem for Frechet groups (J.T. Moore and S. Todorcevic) 24. Cech-Stone remainders of discrete spaces (P.J. Nyikos) 25. First countable, countably compact, noncompact spaces (P.J. Nyikos) 26. Linearly Lindelof problems (E. Pearl) 27. Small Dowker spaces (P.J. Szeptycki) 28. Reflection of topological properties to N1 (F.D. Tall) 29. The Scarborough-Stone problem (J.E. Vaughan) Part 3. Continuum Theory 30. Questions in and out of context (D.P. Bellamy) 31. An update on the elusive fixed-point property (C.L. Hagopian) 32. Hyperspaces of continua (A. Ilanes) 33. Inverse limits and dynamical systems (W.T. Ingram) 34. Indecomposable continua (W. Lewis) 35. Open problems on dendroids (V. Martinez-de-la-Vega and J.M. Martinez-Montejano) 36. -Homogeneous continua (S.B. Nadler, Jr.) 37. Thirty open problems in the theory of homogeneous continua (J.R. Prajs) Part 4. Topological Algebra 38. Problems about the uniform structures of topological groups (A. Bouziad and J-P. Troallic) 39. On some special classes of continuous maps (M.M. Clementino and D. Hofmann) 40. Dense subgroups of compact groups (W.W. Comfort) 41. Selected topics from the structure theory of topological groups (D. Dikranjan and D. Shakhmatov) 42. Recent results and open questions relating Chu duality and Bohr compactifications of locally compact groups (J. Galindo, S. Hernandez and T-S. Wu) 43. Topological transformation groups: selected topics (M. Megrelishvili) 44. Forty-plus annotated questions about large topological groups (V. Pestov) Part 5. Dynamical Systems 45. Minimal flows (W.F. Basener, K. Parwani and T. Wiandt) 46. The dynamics of tiling spaces (A. Clark) 47. Open problems in complex dynam

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書名 Open problems in topology
著作者等 Mill, J. van
Reed, George M
Pearl Elliott M.
Pearl Elliott
巻冊次 [1]
出版元 North-Holland;Distributors for the U.S. and Canada, Elsevier Science Pub. Co.
刊行年月 1990-2007
ページ数 2 v.
大きさ 25 cm
ISBN 0444887687
NCID BA10700283
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言語 英語
出版国 オランダ