Abstract
After having introduced in chapter I the main classes of mappings, let us now study in some depth the various types of lattices encountered there. It seems appropriate to proceed from the most special class of distributive lattices to the more general types, modular, semimodular, and geometric lattices, particularly in view of the fact that each of the three characterizations we shall derive for distributive lattices will lead directly to an important branch of combinatorial theory: matroids and combinatorial geometries to be discussed in chapters VI and VII, the inversion calculus (chapters III and IV), and transversal theory (chapter VIII).
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Notes
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Aigner, M. (1979). Lattices. In: Combinatorial Theory. Grundlehren der mathematischen Wissenschaften, vol 234. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-6666-3_3
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DOI: https://doi.org/10.1007/978-1-4615-6666-3_3
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