The topology of four-dimensional manifolds

  title={The topology of four-dimensional manifolds},
  author={M. Freedman},
  journal={Journal of Differential Geometry},
  • M. Freedman
  • Published 1982
  • Mathematics
  • Journal of Differential Geometry
0. Introduction Manifold topology enjoyed a golden age in the late 1950's and 1960's. Of the mysteries still remaining after that period of great success the most compelling seemed to lie in dimensions three and four. Although experience suggested that manifold theory at these dimensions has a distinct character, the dream remained since my graduate school days that some key principle from the high dimensional theory would extend, at least to dimension four, and bring with it the beautiful… Expand
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