Remarks on affine complete distributive lattices |
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Authors: | Dominic van der Zypen |
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Institution: | (1) Allianz Suisse, CH-3001 Berne, Switzerland |
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Abstract: | We characterise the Priestley spaces corresponding to affine complete bounded distributive lattices. Moreover we prove that
the class of affine complete bounded distributive lattices is closed under products and free products. We show that every
(not necessarily bounded) distributive lattice can be embedded in an affine complete one and that ℚ ∩ 0, 1] is initial in
the class of affine complete lattices. |
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Keywords: | Distributive lattice affine complete Priestley spaces |
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