We describe the set of explosive orbits in the region of attraction of
an unstable attractor which is isolated in the sense of
C.C. Conley. Sufficient conditions are given for the existence of
explosions in certain parts of the region of attraction and for an
unstable attractor to have finitely generated integral
Alexander-Spanier cohomology groups. Finally, we study the case of
singularities that are unstable attractors in flows on the 2-sphere.