Items for "complementarity"

Non-existence of 6-dimensional pseudomanifolds with complementarity

In a previous paper ([10]) the second author showed that if M is a pseudomanifold with complementarity other than the 6-vertex real projective plane and the 9-vertex complex projective plane, then M must have dimension ? 6, and?in case of equality?M must have exactly 12 vertices...

Keywords: (Weak) pseudomanifolds, combinatorial triangulations, collapsible simplicial complexes, complementarity, piecewise-linear manifolds