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Handle Theory

  • Colin P. Rourke
  • Brian J. Sanderson
Part of the Springer Study Edition book series (volume 69)

Abstract

Let W w be a manifold and H a w-ball such that WH∂W, and suppose that there is a homeomorphism h: I p × I q H, such that h (I p × I q ) = HW. Then we say that (H, h) is a handle of index p on W, or simply that “H is a p-handle”.

Keywords

General Position Complementary Pair Homotopy Equivalence Regular Neighbourhood Dual Decomposition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  • Colin P. Rourke
    • 1
  • Brian J. Sanderson
    • 1
  1. 1.The University of WarwickEngland

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