Incomparability and Intersection Properties of Boolean Interval Lattices and Chain Posets

@article{Ahlswede1996IncomparabilityAI,
  title={Incomparability and Intersection Properties of Boolean Interval Lattices and Chain Posets},
  author={Rudolf Ahlswede and Ning Cai},
  journal={Eur. J. Comb.},
  year={1996},
  volume={17},
  pages={677-687}
}
In a canonical way , we establish an AZ-identity (see [2]) and its consequences , the LYM-inequality and the Sperner property , for the Boolean interval lattice . Furthermore , the Bollobas inequality for the Boolean interval lattice turns out to be just the LYM-inequality for the Boolean lattice . We also present an Intersection Theorem for this lattice . Perhaps more surprising is that by our approach the conjecture of P . L . Erdo ̈ s et al . [7] and Z . Fu ̈ redi concerning an Erdo ̈ s – Ko… CONTINUE READING