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]
^
Priestley, (1970).
^Cignoli, R.; Lafalce, S.; Petrovich, A. (September 1991). "Remarks on Priestley duality for distributive lattices". Order. 8 (3): 299–315. doi:10.1007/BF00383451.
mathematics, a Priestleyspace is an ordered topological space with special properties. Priestleyspaces are named after Hilary Priestley who introduced...
representations of bounded distributive lattices via Priestleyspaces, spectral spaces, and pairwise Stone spaces. This duality, which is originally also due to...
1972. Hilary Priestley introduced ordered separable topological spaces; such topological spaces are now usually called Priestleyspaces in her honour...
spectrum of a commutative ring. X is the topological space determined by a Priestleyspace. X is a T0 space whose frame of open sets is coherent (and every...
x for some x∈ A}. An Esakia space is a Priestleyspace (X,τ,≤) such that for each clopen subset C of the topological space (X,τ), the set ↓C is also clopen...
topological space with an additional partial order on its points, yielding a (completely order-separated) ordered Stone space (or Priestleyspace). The original...
Scott continuity Priestleyspace Roy's lattice space Split interval, also called the Alexandrov double arrow space and the two arrows space − All compact...
game, a "space hulk" is a mass of ancient, derelict space ships, asteroids, and other assorted space debris. One player takes the role of Space Marine Terminators...
Space Crusade is an adventure board game produced by Milton Bradley together with Games Workshop and was first made in 1990. It was produced in the UK...
can be extended via an equivalence of coherent spaces and Priestleyspaces (ordered topological spaces, that are compact and totally order-disconnected)...
Bradford, West Yorkshire, England. Formerly known as The Priestley, the theatre also has a studio space that has flexible lighting, sound and seating arrangements...
earlier, and Joseph Priestley in Wiltshire, in 1774. Priority is often given for Priestley because his work was published first. Priestley, however, called...
fiction lends itself to combination with other genres. In 1953, J. B. Priestley described the "Western" as one of the three types of science fiction....
Space Fleet is a board game for 2-4 players, published in 1991 by Games Workshop and designed by Jervis Johnson and Andy Jones. The game is set in the...
advanced race from the Warhammer 40K universe. Chambers, Andy; Thorpe, Gav; Priestley, Rick (1997). Gorkamorka: Da Uvver Book. Nottingham: Games Workshop. ISBN 1-872372-55-4...
the identification (c. 1771), and naming (1777), of oxygen by Joseph Priestley and Antoine Lavoisier, respectively. Phlogiston theory states that phlogisticated...
Sir Raymond Edward Priestley MC (20 July 1886 – 24 June 1974) was an English geologist and early Antarctic explorer. He was Vice-Chancellor of the University...
ISBN 9789810235895 Davey & Priestley (2002), pp. 17–18. P. R. Halmos (1974). Naive Set Theory. Springer. p. 82. ISBN 978-1-4757-1645-0. Davey & Priestley (2002), pp. 23–24...
Global Information