Overview

The book presents surveys describing recent developments in most of the primary subfields of General Topology and its applications to Algebra and Analysis during the last decade. It follows freely the previous edition (North Holland, 1992), Open Problems in Topology (North Holland, 1990) and Handbook of Set-Theoretic Topology (North Holland, 1984).

Background and Context

The book was prepared in connection with the Prague Topological Symposium, held in 2001. During the last 10 years, the focus in General Topology changed, and therefore the selection of topics differs slightly from those chosen in 1992. The following areas experienced significant developments: Topological Groups, Function Spaces, Dimension Theory, Hyperspaces, Selections, Geometric Topology (including Infinite-Dimensional Topology and the Geometry of Banach Spaces).

Content and Contributions

Of course, not every important topic could be included in this book. Besides surveys, the book contains several historical essays written by eminent topologists such as R.D. Anderson, W.W. Comfort, M. Henriksen, S. Mardešić, J. Nagata, M.E. Rudin, J.M. Smirnov (with several reminiscences of L. Vietoris).

In addition to extensive author and subject indexes, a list of all problems and questions posed in this book is included. The list of all authors of surveys includes: A. Arhangel'skii, J. Baker, K. Kunen, H. Bennett, D. Lutzer, J. Dijkstra, J. van Mill, A. Dow, E. Glasner, G. Godefroy, G. Gruenhage, N. Hindman, D. Strauss, L. Hola, J. Pelant, K. Kawamura, H.-P. Kuenzi, W. Marciszewski, K. Martin, M. Mislove, M. Reed, R. Pol, H. Torunczyk, D. Repovs, P. Semenov, D. Shakhmatov, S. Solecki, M. Tkachenko.