A Priestley sum of finite trees is acyclic (Q1029607)
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scientific article; zbMATH DE number 5577703
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Priestley sum of finite trees is acyclic |
scientific article; zbMATH DE number 5577703 |
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A Priestley sum of finite trees is acyclic (English)
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13 July 2009
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Priestley spaces (= ordered compact spaces) have coproducts corresponding to products of bounded distributive lattices. The order structure of these coproducts is not yet fully understood. The authors prove that a coproduct of finite connected acyclic Priestley spaces is acyclic. (Cycles are meant for the ``predecessor or successor'' relation.)
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Priestley space
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bounded distributive lattices
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coproduct
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acyclicity
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