Priestley space

In mathematics, a Priestley space is an ordered topological space with special properties. Priestley spaces are named after Hilary Priestley who introduced and investigated them.[1] Priestley spaces play a fundamental role in the study of distributive lattices. In particular, there is a duality ("Priestley duality"[2]) between the category of Priestley spaces and the category of bounded distributive lattices.[3][4]

  1. ^ Priestley, (1970).
  2. ^ Cignoli, R.; Lafalce, S.; Petrovich, A. (September 1991). "Remarks on Priestley duality for distributive lattices". Order. 8 (3): 299–315. doi:10.1007/BF00383451.
  3. ^ Cornish, (1975).
  4. ^ Bezhanishvili et al. (2010)