Handbook of the History of General Topology

ISBN-13: 9780792369707 / Angielski / Twarda / 2001 / 1223 str.

C. E. Aull; C. E. Aull; R. Lowen

Opis

This account of the History of General Topology has grown out of the special session on this topic at the American Mathematical Soeiety meeting in San Antonio, Texas, 1993. It was there that the idea grew to publish a book on the historical development of General Topology. Moreover it was feit that it was important to undertake this project while topologists who knew some of the early researchers were still active. Since the first paper by Frechet, "Generalisation d'un theoreme de Weier strass," C.R.Acad. Sei. 139, 1904, 848-849, and Hausdorff's c1assic book, "Grundzuge der Mengenlehre," Leipzig, 1914, there have been numerous de velopments in a multitude of directions and there have been many interactions with a great number of other mathematical fields. We have tried to cover as many of these as possible. Most contributions concern either individual topologists, speeific schools, speeific periods, speeific topics or a combination of these.

Spis treści

Introduction. Combinatorial Topology Versus Point-set Topology; I.M. James. Elements of the History of Locale Theory; P. Johnstone. Nonsymmetric Distances and their Associated Topologies: About the Origins of Basic Ideas in the Area of Asymmetric Topology; H.-P.A. Künzi. Supercategories of Top and the Inevitable Emergence of Topological Constructs; E. Lowen-Colebunders, R. Lowen. Topological Features of Topological Groups; M.G. Tkachenko. History of Shape Theory and its Application to General Topology; S. Mardesic, J. Segal. A History of the Normal Moore Space Problem; P.J. Nyikos. Index.