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h-cobordism

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In geometric topology and differential topology, an (n + 1)-dimensional cobordism W between n-dimensional manifolds M and N is an '''h-cobordism' (the h'' stands for homotopy equivalence) if the inclusion maps

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Encyclopedic overview

8 sections
Contents
  • Background
  • Precise statement of the ''h''-cobordism theorem
  • Lower dimensional versions
  • A proof sketch
  • The ''s''-cobordism theorem
  • See also
  • Notes
  • References

In geometric topology and differential topology, an (n + 1)-dimensional cobordism W between n-dimensional manifolds M and N is an '''h-cobordism' (the h stands for homotopy equivalence) if the inclusion maps M \hookrightarrow W \quad\mbox{and}\quad N \hookrightarrow W

are homotopy equivalences.

Excerpted from Wikipedia’s “h-cobordism” article, available under the CC BY-SA 4.0 licence.

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