Abstract. A constructively valid counterpart to Bourbaki’s Fixpoint Lemma for chain-complete partially ordered sets is presented to obtain a condition for one closure system in a complete lattice L to be stable under another closure operator of L. This is then used to deal with coproducts and other aspects of frames
AbstractThis paper is concerned with homotopy properties of partially ordered sets, in particular co...
AbstractWe prove that if L is a semimodular lattice of finite length (with least element 0 and great...
Abstract. A dcpo P is continuous if and only if the lattice C(P) of all Scott-closed subsets of P is...
summary:A constructively valid counterpart to Bourbaki's Fixpoint Lemma for chain-complete partially...
Chain conditions are one of the major tools used in the theory of forcing. We say that a partial ord...
Abstract. We prove that some properties of the definition of complete resid-uated lattice [2,4] can ...
A partially ordered set is ω-chain complete if, for every countable chain, or ω-chain, in P, the lea...
AbstractIn the effective topos there exists a chain-complete distributive lattice with a monotone an...
In 1960, José Morgado gave a necessary and sufficient condition on a poset P in order that closure ...
It is well known that closure operators on a complete lattice, ordered pointwise, give rise to a com...
Two fixed point theorems implementing a more general principle for partially ordered sets (which is ...
Abstract. We consider rings equipped with a closure operation defined in terms of a collection of co...
Abstract. Adámek, Herrlich, and Reiterman showed that a cocomplete category A is co-complete if the...
A partially ordered set P is ω-chain complete if every countable chain (including the empty set) in ...
I. Introduction. A partially ordered set P is co-chain complete if every countable chain (including ...
AbstractThis paper is concerned with homotopy properties of partially ordered sets, in particular co...
AbstractWe prove that if L is a semimodular lattice of finite length (with least element 0 and great...
Abstract. A dcpo P is continuous if and only if the lattice C(P) of all Scott-closed subsets of P is...
summary:A constructively valid counterpart to Bourbaki's Fixpoint Lemma for chain-complete partially...
Chain conditions are one of the major tools used in the theory of forcing. We say that a partial ord...
Abstract. We prove that some properties of the definition of complete resid-uated lattice [2,4] can ...
A partially ordered set is ω-chain complete if, for every countable chain, or ω-chain, in P, the lea...
AbstractIn the effective topos there exists a chain-complete distributive lattice with a monotone an...
In 1960, José Morgado gave a necessary and sufficient condition on a poset P in order that closure ...
It is well known that closure operators on a complete lattice, ordered pointwise, give rise to a com...
Two fixed point theorems implementing a more general principle for partially ordered sets (which is ...
Abstract. We consider rings equipped with a closure operation defined in terms of a collection of co...
Abstract. Adámek, Herrlich, and Reiterman showed that a cocomplete category A is co-complete if the...
A partially ordered set P is ω-chain complete if every countable chain (including the empty set) in ...
I. Introduction. A partially ordered set P is co-chain complete if every countable chain (including ...
AbstractThis paper is concerned with homotopy properties of partially ordered sets, in particular co...
AbstractWe prove that if L is a semimodular lattice of finite length (with least element 0 and great...
Abstract. A dcpo P is continuous if and only if the lattice C(P) of all Scott-closed subsets of P is...