Limit point compact
From Wikipedia, the free encyclopedia
In mathematics, a topological space is said to be limit point compact[1][2] or weakly countably compact[3] if every infinite subset of has a limit point in This property generalizes a property of compact spaces. In a metric space, limit point compactness, compactness, and sequential compactness are all equivalent. For general topological spaces, however, these three notions of compactness are not equivalent.