Lattices which can be represented as lattices of intervals

Details Lattices which can be represented as lattices of intervals Lattices which can be represented as lattices of intervals

2006-09-04

arxiv.org/abs/math/0609114v1

Mathematics

General Mathematics

23 pages, 2 figures

Scientific paper

We investigate lattices that can be represented as sublattices of the lattice
of all convex subsets of a linearly ordered set $(X, \leq)$ and as lattices of
convex subsets of $(X, \leq)$. A representation theory for general lattices is
presented and also some applications in general topology are given.

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