Abstract
In atomistic lattices, we shall consider an important property called the covering property. This property is weaker than ⊥-symmetry but is very near to both ⊥-symmetry and M-symmetry. In fact, if an atomistic lattice is either upper continuous or orthocomplemented then these three properties are equivalent (see (7.15) and (30.2)).
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References for Chapter III
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Maeda, F., Maeda, S. (1970). Atomistic Lattices and the Covering Property. In: Theory of Symmetric Lattices. Die Grundlehren der mathematischen Wissenschaften, vol 173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46248-1_2
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DOI: https://doi.org/10.1007/978-3-642-46248-1_2
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