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Topology

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Examples of Partial Orders

TOPO-XYBWLN

Which of the followings are partial orders?

Select ALL that apply.

A

$\subseteq$ on the set of subsets of a given set $X$.

B

$\geq$ on the set of functions on a set $X$.

C

$\leq$ on the set of positive real numbers.

D

$\leq$ on the set of positive integers.

E

$|$ (divisibility) on $\mathbb{Z}$.