  We show that attractors are semicontinuous for closed relations on compact
Hausdorff spaces. Semicontinuity is what guarantees that small changes to a
system do not result in massive growth of certain features, notably attractors.
That is, there is a certain preservation of structure. When it comes to flows,
semiflows, and maps, it is well established that attractors are semicontinuous.
In [2], relations were established as a way to generalize maps, and a formal
definition of attractors was established. Relations (in the dynamical systems
sense) represent discrete time systems, which may lack uniqueness (or
existence) in forward time.
