Handbook of the History of General Topology / Edition 1

Handbook of the History of General Topology / Edition 1

by C.E. Aull
     
 

ISBN-10: 079236970X

ISBN-13: 9780792369707

Pub. Date: 12/31/2001

Publisher: Springer Netherlands

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),

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Overview

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).

Product Details

ISBN-13:
9780792369707
Publisher:
Springer Netherlands
Publication date:
12/31/2001
Series:
History of Topology (closed) Series, #3
Edition description:
2002
Pages:
414
Product dimensions:
6.10(w) x 9.25(h) x 0.36(d)

Related Subjects

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.

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