This volume mainly focuses on various comprehensive topological theori es, with the exception of a paper on combinatorial topology versus poi nt-set topology by I.M. James and a paper on the history of the normal Moore space problem by P. Nyikos. The history of the following theor ies is given: pointfree topology, locale and frame theory (P. Johnston e), non-symmetric distances in topology (H.-P. K nzi), categorical top ology and topological constructs (E. Lowen-Colebunders and B. Lowen), topological groups (M. G. Tkacenko) and finally shape theory (S. Marde |ic and J. Segal).
Table of Contents
Introduction. Felix Hausdorff (1868-1942); G. Preusz. Frederic Riesz' Contributions to the Foundations of General Topology; W.J. Thron. The Contributions of L. Vietoris and H. Tietze to the Foundations of General Topology; H. Reitberger. Some Aspects of the Work and Influence of R.L. Moore; B. Fitzpatrick Jr. The Works of Bronislaw Knaster (1893-1980) in Continuum Theory; J.J. Charatonik. Witold Hurewicz - Life and Work; K. Borsuk. The Early Work of F.B. Jones; M.E. Rudin. The Beginning of Topology in the United States and the Moore School; F. Burton Jones. Some Topologists of the 1940s; A.H. Stone. Miroslav Katetov (1918-1995); P. Simon. Origins of Dimension Theory; M. Katetov, P. Simon. General Topology, in Particular Dimension Theory, in The Netherlands: the Decisive Influence of Brouwer's Intuitionism; T. Koetsier, J. van Mill. The Flowering of General Topology in Japan; J. Nagata. Rings of Continuous Functions in the 1950s; M. Henriksen. Categorical Topology - Its Origins, as Exemplified by the Unfolding of the Theory of Topological Reflections and Coreflections before 1971; H. Herrlich, G. Strecker. History of Sequential Convergence Spaces; R. Fric. Interaction between General Topology and Functional Analysis; E. Kreyszig. Index.