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| HISTORY OF TOPOLOGY
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To order this title, and for more information, click here
Edited By
I.M. James, Oxford University, Mathematical Institute, Oxford, UK
Description
Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins
may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published
around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly
concerned with the more recent history of topology, from Poincaré onwards.
As will be seen from the list of contents the articles
cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should
still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded
mathematicians, who tend to have a different viewpoint.
Contents
Preface. The emergence of topological dimension theory (T. Crilly, D. Johnson). The concept of manifold 1850 - 1940 (E. Scholz). Development
of the concept of homotopy (R. Vanden Eynde). Development of the concept of a complex (G. Burde, H. Zieschang). Differential forms (V.J.
Katz). The topological work of Henri Poincaré (K.S.Sarkaria). Weyl and the topology of continuous Groups (T. Hawkins). By their
fruits ye shall know them: some remarks on the interaction of general topology with other areas of mathematics (T. Koetsier, J. van Mill).
Absolute neighbourhood retracts and shape theory (S. Mardešić). Fixed point theory (R.F. Brown). Geometric aspects in the
development of knot theory (M. Epple). Topology and physics - a historical essay (C.Nash). Singularities (A.H. Durfee). One hundred years
of manifold topology (S.K.Donaldson). 3-Dimensional topology up to 1960 (C. McA. Gordon). A short history of triangulation and related
matters (N. H. Kuiper). Graph theory (R.J.Wilson). The early development of algebraic topology (S. Lefschetz). From combinatorial topology
to algebraic topology (I. James). π3S(2), H. Hopf. W.K. Clifford, F. Klein (H. Samelson). A history of cohomology
theory (W.S. Massey). Fibre bundles, fibre maps (M. Zisman). A history of spectral sequences: origins to 1953 (J. McCleary). Stable algebraic
topology 1945-1966 (J.P. May). A history of duality in algebraic topology (J.C. Becker, D.H. Gottlieb). A short history of h-spaces
(J.R. Hubbuck). A history of rational homotopy theory (K. Hess). History of homological algebra (C.A.Weibel). Topologists at conferences
(I.M. James). Topologists in Hitler's germany (S.L. Segal). The Japanese school of topology (M. Mimura). Some topologists (I.M. James).
Johann Benedikt listing (E. Breitenberger). Poul Hegaard (E.S. Munkholm, H.J. Munkholm). Luitzen Egbertus Jan Brouwer ( D. van Dalen).
Max Dehn (J. Stillwell). Jakob Nielsen and his contributions to topology (V.L. Hansen). Heinz Hopf (G. Frei, U. Staambach). Hans Freudenthal
(W.T. van Est). Herbert Seifert (1907-1996) (D. Puppe). Subject Index.
| Bibliographic details |
Hardbound, 0 pages, publication date: AUG-1999
ISBN-13: 978-0-444-82375-5
ISBN-10: 0-444-82375-1
Imprint: NORTH-HOLLAND
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Last update: 4 Sep 2009
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