Results 21 to 30 of about 203 (52)

Lifting retracted diagrams with respect to projectable functors

open access: yes, 2004
We prove a general categorical theorem that enables us to state that under certain conditions, the range of a functor is large. As an application, we prove various results of which the following is a prototype: If every diagram, indexed by a lattice, of ...
Wehrung, Friedrich
core   +4 more sources

A uniform refinement property for congruence lattices

open access: yes, 2005
The Congruence Lattice Problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of a lattice. It was hoped that a positive solution would follow from E. T. Schmidt's construction or from the approach of P. Pudlak,
Wehrung, Friedrich
core  

The uniform face ideals of a simplicial complex [PDF]

open access: yes, 2013
We define the uniform face ideal of a simplicial complex with respect to an ordered proper vertex colouring of the complex. This ideal is a monomial ideal which is generally not squarefree.
Cook II, David
core  

The t-median function on graphs [PDF]

open access: yes, 2005
A median of a sequence pi = x1, x2, … , xk of elements of a finite metric space (X, d ) is an element x for which ∑ k, i=1 d(x, xi) is minimum. The function M with domain the set of all finite sequences on X and defined by M(pi) = {x: x is a median of ...
McMorris, F.R.   +2 more
core   +1 more source

On lattices and their ideal lattices, and posets and their ideal posets

open access: yes, 2008
For P a poset or lattice, let Id(P) denote the poset, respectively, lattice, of upward directed downsets in P, including the empty set, and let id(P)=Id(P)-\{\emptyset\}.
Bergman, George M.
core   +2 more sources

Non-extendability of semilattice-valued measures on partially ordered sets

open access: yes, 2005
For a distributive join-semilattice S with zero, a S-valued poset measure on a poset P is a map m:PxP->S such that m(x,z)
Wehrung, Friedrich
core   +1 more source

Polyhedral products over finite posets

open access: yes, 2019
Polyhedral products were defined by Bahri, Bendersky, Cohen and Gitler, to be spaces obtained as unions of certain product spaces indexed by the simplices of an abstract simplicial complex.
Kishimoto, Daisuke, Levi, Ran
core  

Ideals in distributive posets

open access: yesOpen Mathematics, 2011
Batueva Cyndyma, Semenova Marina
doaj   +1 more source

Relatively pseudocomplemented Hilbert algebras

open access: yesOpen Mathematics, 2008
Cīrulis Jānis
doaj   +1 more source

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