differential topology
http://plus.maths.org/content/category/tags/differential-topology
enThe Abel Prize 2011 goes to John Milnor
http://plus.maths.org/content/abel-prize-2011-goes-john-milnor
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<p>The Abel Prize 2011 goes to John Willard Milnor of Stony Brook University, New York for "pioneering discoveries in topology, geometry and algebra".</p>
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<p>The Abel Prize 2011 goes to <a href="http://www.math.sunysb.edu/~jack/">John Willard Milnor</a> of Stony Brook University, New York for "pioneering discoveries in topology, geometry and algebra". The Abel Prize is one of the most important international prizes in mathematics. It's awarded annually by the <a href="http://english.dnva.no/">Norwegian Academy of Science and Letters</a> and carries a prize money of around £650,000.</p><p><a href="http://plus.maths.org/content/abel-prize-2011-goes-john-milnor" target="_blank">read more</a></p>http://plus.maths.org/content/abel-prize-2011-goes-john-milnor#commentsmathematical realityAbel prizedifferential topologydynamical systemJulia setknotknot theoryMandelbrot settopologyWed, 23 Mar 2011 11:05:49 +0000mf3445456 at http://plus.maths.org/contentExotic spheres, or why 4-dimensional space is a crazy place
http://plus.maths.org/content/richard-elwes
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Richard Elwes </div>
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<p>The world we live in is strictly 3-dimensional: up/down, left/right, and forwards/backwards, these are the only ways to move. For years, scientists and science fiction writers have contemplated the possibilities of higher dimensional spaces. What would a 4- or 5-dimensional universe look like? Or might it even be true that we already inhabit such a space, that our 3-dimensional home is no more than a slice through a higher dimensional realm, just as a slice through a 3-dimensional cube produces a 2-dimensional square?</p> </div>
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<p>The world we live in is strictly 3-dimensional: up/down, left/right, and forwards/backwards, these are the only ways to move. For years, scientists and science fiction writers have contemplated the possibilities of higher dimensional spaces. What would a 4- or 5-dimensional universe look like? Or might it even be true, as some have suggested, that we already inhabit such a space, that our 3-dimensional home is no more than a slice through a higher dimensional realm, just as a slice through a 3-dimensional cube produces a 2-dimensional square?</p><p><a href="http://plus.maths.org/content/richard-elwes" target="_blank">read more</a></p>http://plus.maths.org/content/richard-elwes#commentsmathematical realitydifferential topologyfractalgeometryPoincare Conjecturesmooth Poincare conjecturetopologyWed, 12 Jan 2011 11:03:17 +0000mf3445399 at http://plus.maths.org/content