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In the observer's frame of reference overlapping event horizons cannot occur.
Consider an object emitting photons near the edge of the event horizon of black hole A. Suppose black hole A is brought into close proximately of black hole B. Now according to GR the object cannot pass inside the event horizon of black hole B as the photons from the object become infinitely red shifted in the observer's frame of reference. The "closest" the object can approach is the edge of the event horizon of black hole B.
In other words the horizons cannot overlap. In fact if the horizons "touch" this is equivalent to the black holes merging with the event horizon expanding out to the sum of the combined black hole masses.
Regards
Steven
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