The Collected Papers of R.h. Bing

The Collected Papers of R.h. Bing PDF

Author: R. H. Bing

Publisher: American Mathematical Soc.

Published: 1988

Total Pages: 1702

ISBN-13: 9780821810477

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A powerful mathematician and a great problem solver, R. H. Bing laid the foundation for a number of areas of topology. Many of his papers have continued to serve as a source of major theoretical developments and concrete applications in recent years. One outstanding example was Michael H. Freedman's use of Bing's Shrinking Criterion to solve the four-dimensional Poincaré Conjecture. This two-volume set brings together over one hundred of Bing's research, expository, andmiscellaneous papers. These works range over a great variety of topics in topology, including the topology of manifolds, decomposition spaces, continua, metrization, general topology, and geometric topology. In addition, there are a number of papers in the areas of convex functions, linearity, and conformalvarieties. The introductory section in the first volume provides historical background on Bing's life and achievements. This collection will appeal to mathematicians in all areas, and especially those in topology, as well as students, historians, and educators in the mathematical sciences, for it provides a complete historical summary of the mathematical events in the life of the man and the mathematician, R. H. Bing.

Topology Seminar Wisconsin, 1965. (AM-60), Volume 60

Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 PDF

Author: R. H. Bing

Publisher: Princeton University Press

Published: 2016-03-02

Total Pages: 256

ISBN-13: 1400882079

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During the summer of 1965, an informal seminar in geometric topology was held at the University of Wisconsin under the direction of Professor Bing. Twenty-five of these lectures are included in this study, among them Professor Bing's lecture describing the recent attacks of Haken and Poincaré on the Poincaré conjectures, and sketching a proof of Haken's main result.

Handbook of the History of General Topology

Handbook of the History of General Topology PDF

Author: C.E. Aull

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 405

ISBN-13: 9401717567

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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.

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