The paper gives a finite graph claimed to separate C^3 from R^3 orthogonality spaces and proves universal embeddability into orthogonality spaces of finite and atomic orthomodular lattices.
Kalmbach, Orthomodular lattices , London Math
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Remarks on orthogonality spaces
The paper gives a finite graph claimed to separate C^3 from R^3 orthogonality spaces and proves universal embeddability into orthogonality spaces of finite and atomic orthomodular lattices.