Displaying similar documents to “Marczewski independence in lattices and semilattices”

Finite atomistic lattices that can be represented as lattices of quasivarieties

K. Adaricheva, Wiesław Dziobiak, V. Gorbunov (1993)

Fundamenta Mathematicae

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We prove that a finite atomistic lattice can be represented as a lattice of quasivarieties if and only if it is isomorphic to the lattice of all subsemilattices of a finite semilattice. This settles a conjecture that appeared in the context of [11].

Lattices in quasiordered sets

Ivan Chajda (1992)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The band generated by homomorphisms on Banach lattices.

David C. Carothers, William A. Feldman (1998)

Extracta Mathematicae

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This paper will consider the closure of the set of operators which may be expressed as a sum of lattice homomorphisms whose range is contained in a Dedekind complete Banch lattice.

Averaging premises.

Enric Trillas, Elena E. Castiñeira, Susana Cubillo (2001)

Mathware and Soft Computing

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This paper deals with the sets of strict conjectures and consequences of a given collection P of premises. The set of Averaging Functions is introduced on lattices and some properties of these functions are shown. Averaging Functions allow to interpret restricted consequences as averages of premises. The subset of consequences C*(P) and the subset of conjectures Φ*(P) defined by means of the averaging function g are introduced, and their properties are studied. This sets allow to give...