arXiv:1511.01731 Abstract | arXiv Analytics

arXiv:1511.01731 [math.LO]Abstract References Reviews Resources

Divisibility orders in $βN$

Published 2015-11-05Version 1

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.

Categories: math.LO

Subjects: 54D35, 54D80, 54F05

Keywords: divisibility orders, main result, minimal elements, rudin-keisler order

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