This book is the first one of a work in several volumes, treating the history of the development of topology.
The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.
Author(s): Gerhard Preuß (auth.), C. E. Aull, R. Lowen (eds.)
Series: History of Topology 1
Edition: 1
Publisher: Springer Netherlands
Year: 1997
Language: English
Pages: 397
Tags: Topology; History of Mathematical Sciences; Philosophy of Science; History
Front Matter....Pages i-ix
Felix Hausdorff (1868 – 1942)....Pages 1-19
Frederic Riesz’ Contributions to the Foundations of General Topology....Pages 21-29
The Contributions of L. Vietoris and H. Tietze to the Foundations of General Topology....Pages 31-40
Some Aspects of the Work and Influence of R. L. Moore....Pages 41-61
The Works of Bronisław Knaster (1893–1980) in Continuum Theory....Pages 63-78
Witold Hurewicz — Life and Work....Pages 79-84
The Early Work of F. B. Jones....Pages 85-96
The Beginning of Topology in the United States and the Moore School....Pages 97-103
Some Topologists of the 1940s....Pages 105-109
Miroslav Katětov (1918 – 1995)....Pages 111-111
Origins of Dimension Theory....Pages 113-134
General Topology, in Particular Dimension Theory, in the Netherlands: The Decisive Influence of Brouwer’s Intuitionism....Pages 135-180
The Flowering of General Topology in Japan....Pages 181-241
Rings of Continuous Functions in the 1950s....Pages 243-253
Categorical Topology — Its Origins, as Exemplified by the Unfolding of the Theory of Topological Reflections and Coreflections before 1971....Pages 255-341
History of Sequential Convergence Spaces....Pages 343-355
Interaction between General Topology and Functional Analysis....Pages 357-389
Back Matter....Pages 391-397
