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Preface Issue 1-2014

机译:前言1-2014

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摘要

Last year, the Zentralblatt fuer Mathematik and the Jahresbericht der DMV began a collaboration to review again classical books and papers and the effect that they have had or could have had on the development of specific mathematical branches from today's point of view. It has turned out that these renewed reviews build a category of articles of its own and that they cannot in general be considered as book reviews or historical articles. For this reason we introduce the new category "Classics Revisited" and shall try to have one article of this kind in each issue. We begin with a new review by Jean-Pierre Otal of William Thurston's 1982 paper on "Three-dimensional manifolds, Kleinian groups and hyperbolic geometry". This research announcement did not only contain his Geometrization Conjecture and his Hyperbolization Theorem for so called Haken manifolds but also a list of 24 of at that time open problems, of which 22 had been solved by 2012. Only few papers have been of such a strong influence and inspiration.
机译:去年,Zentralblatt fuer Mathematik和Jahresbericht der DMV开始了合作,从今天的角度再次回顾了古典书籍和论文,以及它们对特定数学分支的发展已经或可能产生的影响。事实证明,这些更新的评论构成了自己的文章类别,通常不能将它们视为书评或历史文章。因此,我们引入新的类别“ Classics Revisited”,并且将尝试在每一期中发表一篇此类文章。我们从威廉·瑟斯顿(William Thurston)1982年的论文的让·皮埃尔·奥塔尔(Jean-Pierre Otal)进行的有关“三维流形,Kleinian群和双曲几何”的新评论开始。该研究公告不仅包含了他的几何计量猜想和他的所谓的Haken流形的超增定理,而且还列出了当时有24个未解决问题的列表,其中有22个在2012年之前已得到解决。影响力和灵感。

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