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Exotic Spheres and John Milnor

In: Imagine Math 2

Author

Listed:
  • Marco Abate

    (University of Pisa, Department of Mathematics)

Abstract

There are mathematicians able to solve incredibly difficult problems devising amazingly new ideas. There are mathematicians with a sure grasp of entire subjects, able to single out the more promising research directions. There are mathematicians with a crystal clear vision, able to explain and clarify any subject they talk about. And then there is John Milnor. He is all three: he solves, understands and explains, at an exceptional level on all counts. And he is a nice guy too. In this short note, after a brief bibliographical sketch, I shall try and describe one of the most famous theorems proved by Milnor. We shall not go very much beyond explaining what the statement means, but I hope it would be enough for giving at least an idea of the brilliance of Milnor’s mathematics.

Suggested Citation

  • Marco Abate, 2013. "Exotic Spheres and John Milnor," Springer Books, in: Michele Emmer (ed.), Imagine Math 2, pages 221-229, Springer.
  • Handle: RePEc:spr:sprchp:978-88-470-2889-0_24
    DOI: 10.1007/978-88-470-2889-0_24
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