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the two continuous lattices that carbon can form are found in diamond and graphite

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5mo ago

Two examples of continuous lattices are the lattice of real numbers with the usual order, and the lattice of open sets of a topological space ordered by inclusion. Both of these lattices satisfy the property that any subset with a lower bound has an infimum and any subset with an upper bound has a supremum in the lattice.

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Q: What are two continuous lattices that forms?
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