History of Topology

History of Topology

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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 PoincarAc who qgave topology wingsq 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 PoincarAc 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.Thus the nucleus is an (n aˆ’ 1)-dimensional spine of the manifold, and the diagram is a neighborhood of the nucleus, with the cell decomposition of the nucleus as part of the data. In other words, a diagram is essentially a handle decompositionanbsp;...

Title:History of Topology
Author:I.M. James
Publisher:Elsevier - 1999-08-24


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