# Math Help - Compact Set

1. ## Compact Set

Just a question to see if I understand the definition of a compact set:

Is the set {0,1,2,3,4,5,6,7}, or any (finite) set $A\subset \mathbb{Z}$, compact?

2. It seems to me that if you have an open cover of A, then you you choose for each element x of A a single open set that covers x. This way you get a finite subcover.