Handbook of the History of General Topology

ISBN-13: 9789048157044 / Angielski / Miękka / 2010 / 1223 str.

C. E. Aull; R. Lowen

Opis

This volume mainly focuses on various comprehensive topological theories, with the exception of a paper on combinatorial topology versus point-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 theories is given: pointfree topology, locale and frame theory (P. Johnstone), non-symmetric distances in topology (H.-P. K nzi), categorical topology and topological constructs (E. Lowen-Colebunders and B. Lowen), topological groups (M. G. Tkacenko) and finally shape theory (S. Mardesic and J. Segal). Together with the first two volumes, this work focuses on the history of topology, in all its aspects. It 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.

Spis treści

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. Künzi. 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.