论文信息 - States, Uniformities and Metrics on Lattice Effect Algebras

States, Uniformities and Metrics on Lattice Effect Algebras

We show that every state ω on a lattice effect algebra E induces a uniform topology on E. If ω is subadditive this topology coincides with pseudometric topology induced by ω. Further, we show relations between the interval and order topology on E and topologies induced by states.

Zdenka Riecanová

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