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The aim of this paper is to show that every Hausdorff continuous interval-valued function on a completely regular topological space X corresponds to a Dedekind cut in C(X) and conversely.

Direct product decompositions of infinitely distributive lattices

Ján Jakubík (2000)

Mathematica Bohemica

Let $α$ be an infinite cardinal. Let $𝒯_{α}$ be the class of all lattices which are conditionally $α$ -complete and infinitely distributive. We denote by $𝒯_{σ}^{'}$ the class of all lattices $X$ such that $X$ is infinitely distributive, $σ$ -complete and has the least element. In this paper we deal with direct factors of lattices belonging to $𝒯_{α}$ . As an application, we prove a result of Cantor-Bernstein type for lattices belonging to the class $𝒯_{σ}^{'}$ .

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Completions for partially ordered semigroups.

Completions of lattice ordered groups

Condition pour que la puissance $I^{X}$ du treillis complet $I$ soit algébrique

Conjugately Factorable Isotone Self-Mappings Of Complete Lattices

Conjugately factorable isotone self-mappings of complete lattices.

Conjunctivity in quantales

Continuous lattices and compact Lawson semilattices.

Corrigendum: A completion for partially ordered abelian groups.

Dedekind completions of lattices by ends

Dedekind cuts in C(X)

Direct product decompositions of infinitely distributive lattices

Disjoint unions of incidence structures and complete lattices

Distributive partially ordered sets

Doppelmodulzerlegungen von Gruppen.

Dualities associated to binary operations on $\bar{R}$ .

Eine Kennzeichnung topologischer Räume durch Vervollständigungen.

Embedding of semilattices into distributive lattices

Endlichkeitsbedingungen bei Verbänden, Moduln, Gruppen.

Errata to the paper “On paracompact locales and metric locales”

Essentially Complete T...-Spaces II. A Lattice-Theoretic Approach.

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