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)
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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 $\displaystyle \Sigma^{\infty}$?
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.
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