Definition talk:Compact Space/Topology/Subspace/Definition 2

Sutherland, edition 2 defines this as a "compact subset", and using open sets of X, not H. Edition 1 also uses open sets of X, and, strictly speaking, defines it for a subset while saying that he defines it for a subspace. But at this point in the book, Sutherland does not distinguish anymore between subsets and subspaces, so it must not be taken literally. --barto (talk) 10:36, 10 September 2017 (EDT)