compactness is a collection of sets

normed-vector-spaces-topological-concepts-analysis-proofs-inequality-compactness-completeness-sets-collection-ofcompactness is a collection of setsnormed-vector-spaces-topological-concepts-analysis-proofs-inequality-compactness-completeness-sets-collection-of

compactness in terms of a collection of sets and subsets. converges to a point in the domain of the metric space.