Order- and Lattice-Structures
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In this part we want to condense the new mathematical ideas and structures that have been introduced so far into a mathematical theory, which can be put in the framework of lattice theory. In the next chapter we want to get a better understanding of the order structure (defined in Definition 10.3 on the set of all covers. For this purpose we now introduce a number of basic concepts concerning order and lattices (Birkhoff 1967).
[1] R. P. Dilworth. Review: G. Birkhoff, Lattice theory , 1950 .