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:[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 and are spectral spaces.

See also


  1. G. Bezhanishvili, N. Bezhanishvili, D. Gabelaia, A. Kurz, (2010). Bitopological duality for distributive lattices and Heyting algebras. Mathematical Structures in Computer Science, 20.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.