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.
