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Abstract: We argue that it makes sense to talk about ``typical- properties oflattices, and then show that there is, up to isomorphism, a unique countablelattice L* the Fraisse limit of the class of finite lattices that has all``typical- properties.Among these properties are: L* is simple and locally finite, every orderpreserving function can be interpolated by a lattice polynomial, and everyfinite lattice or countable locally finite lattice embeds into L*.The same arguments apply to other classes of algebras assuming they have aFraisse limit and satisfy the finite embeddability property.



Author: Martin Goldstern

Source: https://arxiv.org/







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