
- 652 pages
- English
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Recent Progress in General Topology II
About this book
The book presents surveys describing recent developments in most of the primary subfields ofGeneral Topology and its applications to Algebra and Analysis during the last decade. It follows freelythe previous edition (North Holland, 1992), Open Problems in Topology (North Holland, 1990) and Handbook of Set-Theoretic Topology (North Holland, 1984). The book was prepared inconnection with the Prague Topological Symposium, held in 2001. During the last 10 years the focusin General Topology changed and therefore the selection of topics differs slightly from thosechosen in 1992. The following areas experienced significant developments: Topological Groups, Function Spaces, Dimension Theory, Hyperspaces, Selections, Geometric Topology (includingInfinite-Dimensional Topology and the Geometry of Banach Spaces). Of course, not every important topic could be included in this book. Except surveys, the book contains several historical essays written by such eminent topologists as: R.D. Anderson, W.W. Comfort, M. Henriksen, S. Marde?i?, J. Nagata, M.E. Rudin, J.M. Smirnov (several reminiscences of L. Vietoris are added). In addition to extensive author and subject indexes, a list of all problems and questions posed in this book are added. List of all authors of surveys: A. Arhangel'skii, J. Baker and K. Kunen, H. Bennett and D. Lutzer, J. Dijkstra and J. van Mill, A. Dow, E. Glasner, G. Godefroy, G. Gruenhage, N. Hindman and D. Strauss, L. Hola and J. Pelant, K. Kawamura, H.-P. Kuenzi, W. Marciszewski, K. Martin and M. Mislove and M. Reed, R. Pol and H. Torunczyk, D. Repovs and P. Semenov, D. Shakhmatov, S. Solecki, M. Tkachenko.
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Information
Table of contents
- Cover image
- Title page
- Table of Contents
- Copyright
- Preface
- Chapter 1: Topological Invariants in Algebraic Environment
- Chapter 2: Matrices and Ultrafilters
- Chapter 3: Recent Developments in the Topology of Ordered Spaces
- Chapter 4: Infinite-Dimensional Topology
- Chapter 5: Recent Results in Set-Theoretic Topology
- Chapter 6: Topics in Topological Dynamics, 1991 to 2001
- Chapter 7: Banach Spaces of Continuous Functions on Compact Spaces
- Chapter 8: Metrizable Spaces and Generalizations
- Chapter 9: Recent Progress in the Topological Theory of Semigroups and the Algebra of βS
- Chapter 10: Recent Progress in Hyperspace Topologies
- Chapter 11: Some Topics in Geometric Topology
- Chapter 12: Quasi-Uniform Spaces in the Year 2001
- Chapter 13: Function Spaces
- Chapter 14: Topology and Domain Theory
- Chapter 15: Topics in Dimension Theory
- Chapter 16: Continuous Selections of Multivalued Mappings
- Chapter 17: Convergence in the Presence of Algebraic Structure
- Chapter 18: Descriptive Set Theory in Topology
- Chapter 19: Topological Groups: Between Compactness and ℵ0-boundedness
- Chapter 20: Essays
- Chapter 21: List of Open Problems and Questions
- Author Index
- Special Symbols
- Subject Index