"The Compact," a region of space inhabited by fictional aliens in The Chanur novels by C. J. Cherryh.
Mathematics
Compact space, a topological space such that every open cover has a finite subcover. This corresponds to a closed and bounded subset of a Euclidean space
Compactness theorem, a set of first-order sentences is satisfiable if every finite subset of it is satisfiable.
Compact element, those elements of a partially ordered set that cannot be subsumed by a supremum of any directed set that does not already contain them