1. ## Complete Partial Orders

Can anybody show me how to solve this:
∑∞ is a complete partial order
thanks!

(sigma to the power of infinity is a complete partial order)

2. Originally Posted by sm87
Can anybody show me how to solve this:
∑∞ is a complete partial order
thanks!

(sigma to the power of infinity is a complete partial order)
What is $\Sigma^{\infty}$?

3. Its a set of all finite and infinite strings over an alphabet ∑.
The main focus of the question is on the completeness of this poset i.e. showing
that each directed set in ∑∞ has a supremum.