Handbook of the History of General Topology

History of Topology

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By: C. E. Aull (Editor), R. Lowen (Editor)

Hardcover

Published: 31st March 1998

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This book is the second volume of the Handbook of the History of General Topology. As was the case for the first volume, the contributions contained in it concern either individual topologists, specific schools of topology, specific periods of development, specific topics or a combination of these.
The second volume focuses on the work of famous topologists, such as W. Sierpinski, K. Kuratowski (both by R. Engelkind), S. Mazurkiewicz (by R. Pol) and R.G. Bing (by M. Starbird). Furthermore, it contains articles covering Uniform, Proximinal and Nearness Concepts in Topology (by H.L. Bentley, H. Herrlich, M. Husek), Hausdorff Compactifications (by R.E. Chandler, G. Faulkner), Continua Theory (by J.J. Charatonik), Generalized Metrizable Spaces (by R.E. Hodel), Minimal Hausdorff Spaces and Maximally Connected Spaces (by J.R. Porter, R.M. Stephenson Jr.), Orderable Spaces (by S. Purisch), Developable Spaces (by S.D. Shore) and The Alexandroff-Sorgenfrey Line (by D.E. Cameron).
Together with the first volume and the forthcoming volume(s) this work on the history of topology, in all its aspects, is unique, and presents important views and insights into the problems and development of topological theories and applications of topological concepts, and into the life and work of topologists. As such it will encourage not only further study in the history of the subject, but also further mathematical research in the field. It is an invaluable tool for topology researchers and topology teachers throughout the mathematical world.

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.

ISBN: 9780792350309
ISBN-10: 0792350308
Series: History of Topology : Book 2
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 410
Published: 31st March 1998
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6 x 2.39
Weight (kg): 0.77