Pairwise Stone space
In mathematics and particularly in topology, pairwise Stone space is a bitopological space  which is pairwise compact, pairwise Hausdorff, and pairwise zero-dimensional. Pairwise Stone spaces are a bitopological version of the Stone spaces. Pairwise Stone spaces are closely related to spectral spaces. Theorem: If   is a spectral space, then   is a pairwise Stone space, where   is the de Groot dual topology of  . Conversely, if   is a pairwise Stone space, then both   and   are spectral spaces. See also

 Bitopological space
 Duality theory for distributive lattices

Notes

Topology