Add to ORKGsummary:The purpose of this paper is to study the topological properties of the interval topology on a completely distributive lattice. The main result is that a metrizable completely distributive lattice is an ANR if and only if it contains at most finite completely compact elements
AbstractWe completely characterize those distributive lattices which can be obtained as elementary s...
We show that the usual construction of the free distributive lattice on n generators generalizes to ...
For complete lattices various infinite distributive laws are of interest. Prominent examples are com...
summary:The purpose of this paper is to study the topological properties of the interval topology on...
AbstractLet L be a finite distributive lattice. It is shown that every interval of L is a de Morgan ...
. Let P be a graded poset with 0 and 1 and rank at least 3. Assume that every rank 3 interval is a d...
AbstractEvery completely distributive complete lattice is a subdirect product of copies of the latti...
Important properties of primary elements in a complete residuated ADL L and the uniqueness theorem i...
AbstractIn 1983, Wille raised the question: Is every complete lattice L isomorphic to the lattice of...
AbstractFor a set X, let Σm(X) denote the set of metrizable topologies on X, partially ordered by in...
Intervals in binary or n-ary relations or other discrete structures generalize the concept of an int...
Intervals in binary or n-ary relations or other discrete structures generalize the concept of an int...
Abstract. It is proven that the direct limit lim−→Xn of a sequence X1 ⊂ X2 ⊂... metrizable A(N)R’s i...
Using known facts we give a simple characterization of the distributivity of lattices of finite leng...
AbstractAssuming the existence of infinitely many measurable cardinals, a finite lattice is isomorph...
AbstractWe completely characterize those distributive lattices which can be obtained as elementary s...
We show that the usual construction of the free distributive lattice on n generators generalizes to ...
For complete lattices various infinite distributive laws are of interest. Prominent examples are com...
summary:The purpose of this paper is to study the topological properties of the interval topology on...
AbstractLet L be a finite distributive lattice. It is shown that every interval of L is a de Morgan ...
. Let P be a graded poset with 0 and 1 and rank at least 3. Assume that every rank 3 interval is a d...
AbstractEvery completely distributive complete lattice is a subdirect product of copies of the latti...
Important properties of primary elements in a complete residuated ADL L and the uniqueness theorem i...
AbstractIn 1983, Wille raised the question: Is every complete lattice L isomorphic to the lattice of...
AbstractFor a set X, let Σm(X) denote the set of metrizable topologies on X, partially ordered by in...
Intervals in binary or n-ary relations or other discrete structures generalize the concept of an int...
Intervals in binary or n-ary relations or other discrete structures generalize the concept of an int...
Abstract. It is proven that the direct limit lim−→Xn of a sequence X1 ⊂ X2 ⊂... metrizable A(N)R’s i...
Using known facts we give a simple characterization of the distributivity of lattices of finite leng...
AbstractAssuming the existence of infinitely many measurable cardinals, a finite lattice is isomorph...
AbstractWe completely characterize those distributive lattices which can be obtained as elementary s...
We show that the usual construction of the free distributive lattice on n generators generalizes to ...
For complete lattices various infinite distributive laws are of interest. Prominent examples are com...