Handbook of the History of General TopologyC.E. Aull, R. Lowen Springer Science & Business Media, 9 de març 2013 - 410 pàgines This book is the second volume of the Handbook of the History of General Topology. As was the case for the first volume, the contributions contained in it concern either individual topologists, specific schools of topology, specific periods of development, specific topics or a combination of these. The second volume focuses on the work of famous topologists, such as W. Sierpinski, K. Kuratowski (both by R. Engelkind), S. Mazurkiewicz (by R. Pol) and R.G. Bing (by M. Starbird). Furthermore, it contains articles covering Uniform, Proximinal and Nearness Concepts in Topology (by H.L. Bentley, H. Herrlich, M. Husek), Hausdorff Compactifications (by R.E. Chandler, G. Faulkner), Continua Theory (by J.J. Charatonik), Generalized Metrizable Spaces (by R.E. Hodel), Minimal Hausdorff Spaces and Maximally Connected Spaces (by J.R. Porter, R.M. Stephenson Jr.), Orderable Spaces (by S. Purisch), Developable Spaces (by S.D. Shore) and The Alexandroff-Sorgenfrey Line (by D.E. Cameron). Together with the first volume and the forthcoming volume(s) this work on the history of topology, in all its aspects, 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. |
Continguts
KAZIMIERZ KURATOWSKI 18961980 | 433 |
399 | 450 |
R H Bings Human and Mathematical Vitality | 453 |
431 | 464 |
From Developments to Developable Spaces 467 | 468 |
A History of Generalized Metrizable Spaces | 541 |
The Historical Development of Uniform Proximal and Nearness | 578 |
A Retrospective 631 | 632 |
Minimal Hausdorff Spaces Then and Now 669 | 670 |
A History of Results on Orderability and Suborderability | 689 |
Introduction | 700 |
History of Continuum Theory 703 | 704 |
Dimension theory | 754 |
Study the History of Mathematics | 787 |
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abstract Acad Alexandroff Amer axioms Bing Bing's Bull Cauchy Cauchy spaces Čech chainable characterization Chittenden closed compact spaces compactification completely regular space concept condition constructed contains continuous functions continuous mappings continuum convergence countably compact curve decomposition defined definition dimension distance function domain écart embedded ensembles equivalent espaces example exists extension finite Fréchet Fund Hausdorff space Hedrick Herrlich Hilbert homeomorphic homogeneous hyperspaces indecomposable continua indecomposable continuum irreducible Janiszewski Katětov Knaster Kuratowski limiting element locally compact locally connected continua Math mathematical Mazurkiewicz metric space metrization problem metrization theorem monotone Moore space nearness spaces neighborhood normal notion open covers paper paracompact paracompact spaces plane point set Proc proof properties proved proximity spaces pseudo-arc quasi-metrizable R.L. Moore Riesz semi-metrizable separable sequence set theory Sierpiński ẞN\N ẞX Stone-Čech Stone-Čech compactification structure subsets subspace thesis topological spaces topology uniform spaces uniformly continuous University Urysohn