By M. Husek, J. van Mill

The e-book provides surveys describing fresh advancements in many of the basic subfields of normal Topology and its functions to Algebra and research over the last decade. It follows freely the former variation (North Holland, 1992), Open difficulties in Topology (North Holland, 1990) and guide of Set-Theoretic Topology (North Holland, 1984). The booklet used to be ready in reference to the Prague Topological Symposium, held in 2001. over the past 10 years the point of interest commonly Topology replaced and hence the choice of subject matters differs a bit of from these selected in 1992. the subsequent components skilled major advancements: Topological teams, functionality areas, measurement concept, Hyperspaces, decisions, Geometric Topology (including Infinite-Dimensional Topology and the Geometry of Banach Spaces). in fact, no longer each vital subject will be integrated during this book.

other than surveys, the e-book comprises numerous old essays written by means of such eminent topologists as: R.D. Anderson, W.W. convenience, M. Henriksen, S. Mardeŝić, J. Nagata, M.E. Rudin, J.M. Smirnov (several recollections of L. Vietoris are added). as well as large writer and topic indexes, an inventory of all difficulties and questions posed during this booklet are added.

record of all authors of surveys: A. Arhangel'skii, J. Baker and ok. 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, ok. Kawamura, H.-P. Kuenzi, W. Marciszewski, ok. 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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