In a simply ordered set having the least upper bou
In a simply ordered set having the least upper bound property under the order topology, closed intervals are this. In normed vector spaces, a set is said to be this if every sequence of elements of the set has a point of accumulation in the set. A general topological space is said to be this if any open covering of the space has a finite subcovering that covers the space. FTP, identify these types of sets, which in R^n are closed and bounded.
In a simply ordered set having the least upper bound property under the order topology, closed intervals are this.