Word: poincarã
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...praise and criticize research in an unfair, un-objective way. But copious empirical evidence indicates that open online communities—including those dedicated to scientific research—have an incredible capacity to self-regulate.Russian mathematician Grigori Perelman’s recent online publication of a proof of the Poincar?? conjecture—a century-old question of fundamental importance in topology, the solution to which won Perelman a Fields Medal—is an iconic example of the unlimited possibilities in open online science. Perelman’s proof never underwent the trials of a typical peer-review...
Unconscionably, the editors fail to mention the most prominent experiment in web-only publishing, called the “arXiv” (www.arxiv.org). This, in fact, is where Grigory Perelman placed his proof of the Poincar?? conjecture...
...marketplace of ideas,” open publication will create a morass from which science might not emerge. Results will be duplicated, communication retarded, and progress slowed to a standstill. Proponents of open publication who point to advances such as Grigori Perelman’s recent proof of the Poincar?? conjecture, which was posted online instead of submitted to a journal, fail to realize that such instances are the exception rather than the rule. True, the traditional peer review process is not perfect. It delays the flow of information, can sometimes be biased, and often unduly prioritizes the work...
...Yorker article discusses the century-old Poincar?? conjecture, which states that all closed three-dimensional abstract topological spaces with no holes are spheres. This has been proven for two dimensions, and for the fourth, fifth, and higher dimensions. But the proof for the third dimension has continued to elude mathematicians...
Unfortunately Premier Briand had no head for finance. The collapse of the franc drove him back to his favorite post of Foreign Minister. In came great Premier Raymond Poincar?? to save the franc, and incidentally to blight the careers of several Briand satellites. Ousted Pierre Laval contrived to get himself elected a Senator from the Department of the Seine (which he has since represented). He dropped back for several years into obscurity as a quiet Independent. Still close to Old Brer Briand, he also made himself close to Young Andr Tardieu...