These papers survey the developments in General Topology and the applications of it which have taken place since the mid 1980s. The book may be regarded as an update of some of the papers in the Handbook of Set-Theoretic Topology (eds. Kunen/Vaughan, North-Holland, 1984), which gives an almost complete picture of the state of the art of Set Theoretic Topology before 1984. In the present volume several important developments are surveyed that surfaced in the period 1984-1991.This volume may also be regarded as a partial update of Open Problems in Topology (eds. van Mill/Reed, North-Holland, 1990). Solutions to some of the original 1100 open problems are discussed and new problems are posed.
Rezensionen / Stimmen
from:Mary Ellen Rudin
"Here you will find a remarkably broad vision of recent developments in General Topology with special insight from some of the best men working in the field." --Introduction
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science & Technology
Zielgruppe
Gewicht
ISBN-13
978-0-444-89674-2 (9780444896742)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Herausgeber*in
Charles University, Department of Mathematics, Prague, Czech Republic
Vrije Universiteit, Department of Mathematics and Computer Science, Amsterdam, The Netherlands
Introduction. Contents. Cp-theory (A.V. Arkhangel'ski&icaron;). Topological Groups and Semigroups (W.W. Comfort, K.-H. Hofmann, D. Remus). Topological Classification of Infinite-Dimensional Spaces with Absorbers (J.J. Dijkstra, J. van Mill). Set Theory in Topology (A. Dow). Sequential Convergence Spaces (R. Frič, V. Koutnik). Topology and Differentiation Theory (A. Froelicher, A. Kriegl). Generalized Metric Spaces and Metrization (G. Gruenhage). Descriptive Topology (R.W. Hansell). The Čech-Stone Compactification of the Real Line (K.P. Hart). Special Metrics (Y. Hattori, J. Nagata). Categorical Topology (H. Herrlich, M. Husek). Extensions of Mappings (T. Hoshina). Cardinal Functions (I. Juhasz). Covering Properties (H.J.K. Junnila). Continuum Theory (J.C. Mayer, L.G. Oversteegen). Banach Spaces and Topology II (S. Mercourakis, S. Negrepontis). Convergence in Topology (P.J. Nyikos). Compact Spaces and Their Generalizations (D.B. Shakhmatov). Abstract Topological Dynamics (J. de Vries). The Construction of Topological Spaces (S. Watson). Index.
