nLab
Poincaré complex

Context

Duality

Integration theory

Contents

Idea

A special kind of Poincaré duality space: a CW-complex which satisfies Poincaré duality and in this respect thus behaves like a closed manifold. Also called a homology manifold, therefore.

References

  • C. T. C. Wall, Poincaré complexes I, Annals of Mathematics, Second Series, Volume 86 (1967) pdf

    )

  • Andrew Ranicki, 45 slides on chain duality, September 1996 (pdf)

With an eye towards generalization in spectral geometry (spectral triples):

  • Alain Connes, page 10 of Noncommutative geometry and reality, J. Math. Phys. 36 (11), 1995 (pdf)

Last revised on March 20, 2014 at 07:53:56. See the history of this page for a list of all contributions to it.