Abstract
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).
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Notes
- 1.
All suprema exist if M is finite, but the inequalities also hold for infinite sets.
References
Birkhoff, G. (1967). Lattice theory (3rd ed.). Providence: American Mathematical Society.
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© 2012 Springer-Verlag Berlin Heidelberg
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Palm, G. (2012). Order- and Lattice-Structures. In: Novelty, Information and Surprise. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29075-6_15
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DOI: https://doi.org/10.1007/978-3-642-29075-6_15
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-29074-9
Online ISBN: 978-3-642-29075-6
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