Handbook of the history of general topology

Author(s)

• Aull, Charles E.
• Lowen, R. (Robert)

Bibliographic Information

Handbook of the history of general topology

edited by C.E. Aull and R. Lowen

（History of topology, [1]-3）

Kluwer Academic Publishers, c1997-

• v. 1
• v. 2
• v. 3

Note

Includes index

Description and Table of Contents

Volume

v. 1 ISBN 9780792344797

Description

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 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, specific schools, specific periods, specific topics or a combination of these.

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.

Volume

v. 2 ISBN 9780792350309

Description

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.

Table of Contents

• 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.

Volume

v. 3 ISBN 9780792369707

Description

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.

Table of Contents

• 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. Kunzi. 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.

by "Nielsen BookData"

Details

• NCID: BA30866278
• ISBN:
  • 0792344790
  • 0792350308
  • 079236970X
• LCCN: 97007258
• Country Code: ne
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Dordrecht
• Pages/Volumes: v.
• Size: 25 cm
• Classification:
  • LCC : QA611.A3
  • DC21 : 514/.09
  • NDC8 : 415.7
  • NDC8 : 415.02
• Subject Headings:
  • LCSH : Topology -- History
• Parent Bibliography ID:
  • BA55573804