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

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)

Revised on March 20, 2014 07:53:56 by Urs Schreiber (89.204.154.77)