On Complexes Equivalent to S3-bundles over S4 Nitu Kitchloo and Krishnan Shankar

  • NITU KITCHLOO
  • Published 2000

Abstract

S3-bundles over S4 have played an important role in topology and geometry since Milnor showed that the total spaces of such bundles with Euler class ±1 are manifolds homeomorphic to S7 but not always diffeomorphic to it. In 1974, Gromoll and Meyer exhibited one of these spheres (a generator in the group of homotopy 7-spheres) as a double coset manifold i.e… (More)

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