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:[1] 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
are spectral spaces.