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High dim topology
Aug. 14th, 2014 11:50 amИз совы:
But, perhaps, an example will be more convincing. Take the topology of smooth manifolds. Not very special theories in the dimension 3 and 4, but the general theory. Fields medals in 1958, 1962, 1966, 1970. And that's it. Soon after this the field is dead. All Fields medalist left the field. The best people younger also left it. Many started to talk that all problems about smooth manifold are solved. But that's far from being true. Some started to say that there is nothing interesting in this theory. I don't believe in this either.
But, perhaps, an example will be more convincing. Take the topology of smooth manifolds. Not very special theories in the dimension 3 and 4, but the general theory. Fields medals in 1958, 1962, 1966, 1970. And that's it. Soon after this the field is dead. All Fields medalist left the field. The best people younger also left it. Many started to talk that all problems about smooth manifold are solved. But that's far from being true. Some started to say that there is nothing interesting in this theory. I don't believe in this either.
