We develop a Priestley-style duality theory for different classes of algebras having a bilattice reduct. A similar investigation has already been realized by B. Mobasher, D. Pigozzi, G. Slutzki and G. Voutsadakis, but only from an abstract category-theoretic point of view. In the present work we are instead interested in a concrete study of the topological spaces that correspond to bilattices a...

In this two hundredth anniversary year of his death, we are met to celebrate the life and career of Joseph Priestley—and most of us celebrate the wrong man, for the wrong reasons. We celebrate the pneumatic chemist who, in a flurry of random experiments made over a period of five years, isolated and partially identified nine new gases, including oxygen—and the man who spent roughly five times a...

A characterization of descent morphism in the category of Priestley spaces, as well as necessary and sufficient conditions for such morphisms to be effective are given. For that we embed this category in suitable categories of preordered topological spaces were descent and effective morphisms are described using the monadic description of descent.

We use Priestley duality to give a new proof of the Hofmann-Mislove Theorem.

Joseph Priestley (1733–1804) was the first person to report the discovery of oxygen and describe some of its extraordinary properties. As such he merits a special place in the history of respiratory physiology. In addition his descriptions in elegant 18th-century English were particularly arresting, and rereading them never fails to give a special pleasure. The gas was actually first prepared b...

We show that the Priestley sum of …nite trees contains no cyclic …nite poset.

En la segunda mitad del siglo XVIII tuvo lugar un debate entre Thomas Reid y Joseph Priestley acerca de naturaleza mente su interacción con el cuerpo. marco defensa religión cristiana en nombre principios metodológicos experimentalistas newtonianos, los autores defienden propuestas radicalmente diferentes relación materia. Sus divergencias se vinculan interpretación método newtoniano concepción...

the starting point of this paper is given by priestley’s papers, where a theory of representation of distributive lattices is presented. the purpose of this paper is to develop a representation theory of fuzzy distributive lattices in the finite case. in this way, some results of priestley’s papers are extended. in the main theorem, we show that the category of finite fuzzy priestley space...