Let A and B be regressive isols
and let α ∈ A and β ∈ B. Let Y be the isol containing the set α∩β. We study some
basic features of the isol Y , and features of Y in the special case the sum A + B is
regressive. We also show that there is a large variety of regressive isols A and
B for which the values of Y that are associated, in the above way, are all
finite.