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arxiv: 1511.01731 · v2 · pith:XNHLNNBBnew · submitted 2015-11-05 · 🧮 math.LO

Divisibility orders in β N

Boris \v{S}obot This is my paper
classification 🧮 math.LO
keywords betadivisibilityelementsordersantichainscharacterizecompactificationconsider
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We consider five divisibility orders on the Stone-\v{C}ech compactification $\beta N$. We find antichains of incompatible elements, and characterize maximal and minimal elements. The main result shows that two of these relations, $\mid_L$ and $\mid_{LN}$, are strictly stronger than the Rudin-Keisler order.

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