Handbook of the History of General Topology

ISBN-13: 9780792350309 / Angielski / Twarda / 1998 / 410 str.

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

Opis

This account of the History of General Topology has grown out of the special session on this topic at the American Mathematical Society meeting in San Anto nio, Texas, 1993. It was there that the idea grew to publish a book on the historical development of General Topology. Moreover it was felt 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. Sci. 139, 1904, 848-849, and Hausdorff's classic book, "GrundZiige der Mengenlehre," Leipzig, 1914, there have been numerous devel opments 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, specific schools, specific periods, specific topics or a combination of these.

Spis treści

Introduction. Waclaw Sierpinski (1882-1969) - His Life and Work in Topology; R. Engelking. The Works of Stefan Mazurkiewicz in Topology; R. Pol. Kazimierz Kuratowski (1896-1980) - His Life and Work in Topology; R. Engelking. R.H. Bing's Human and Mathematical Vitality; M. Starbird. From Developments to Developable Spaces; S.D. Shore. A History of Generalized Metrizable Spaces; R.E. Hodel. The Historical Development of Uniform, Proximal, and Nearness Concepts in Topology; H.L. Bentley, et al. Hausdorff Compactifications: A Retrospective; R.E. Chandler, G.D. Faulkner. Minimal Hausdorff Spaces - Then and Now; J.R. Porter, R.M. Stephenson, Jr. A History of Results on Orderability and Suborderability; S. Purisch. History of Continuum Theory; J.J. Charatonik. Why I Study the History of Mathematics; D.E. Cameron. The Alexandroff-Sorgenfrey Line; D.E. Cameron. The Flowering of General Topology in Japan - Correction; J. Nagata. Index.