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Reference.org
Priestley space
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, a Priestley space is an <a href="/facts/Partial_order/qb4a3FAX">ordered</a> <a href="/facts/Topological_space/v2ut7CbK">topological space</a> with special properties. Priestley spaces are named after <a href="/facts/Hilary_Priestley/d8r8I53C">Hilary Priestley</a> who introduced and investigated them. Priestley spaces play a fundamental role in the study of <a href="/facts/Distributive_lattice/97DFz1cu">distributive lattices</a>. In particular, there is a <a href="/facts/Duality_theory_for_distributive_lattices/sHczUFeb">duality</a> ("Priestley duality") between the <a href="/facts/Category_(mathematics)/7WzxUThf">category</a> of Priestley spaces and the category of bounded distributive lattices. </p>