REGULAR O (n)-MANIFOLDS, SUSPENSION OF KNOTS, AND KNOT PERIODICITY

نویسندگان

  • GLEN E. BREDON
  • G. E. BREDON
چکیده

1. Statement of the main results. It will be convenient for us to define an n-knot to be a smooth, connected, oriented, n-dimensional (closed) submanifold IP of S (oriented). If X" is homeomorphic to S, then we call it a spherical knot. All manifolds in this note will be oriented and all constructions we consider will induce canonical orientations. This will be understood and not commented upon further. Let Kn denote the semigroup of isotopy classes of smooth rc-knots (S, Z). Our object is to define a homomorphism

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تاریخ انتشار 2007