1. Then, by continuity, the inverse image of that is an open set. 2. There is a different inverse image functor for sheaves of modules over sheaves of rings. 3. The sphere is the inverse image of a one-point set under the continuous function } }. 4. It induces adjoint direct and inverse image functors p _ * and p ^ {-1 }. 5. But these morphisms are characterized equivalently by the inverse images of the two elements of 2. 6. Likewise, some authors use square brackets to avoid confusion between the inverse image and the inverse function. 7. This is because inverse image preserves intersection. 8. Instead, these inverse images are only isomorphic. 9. Treasury bonds fell for the third consecutive session, providing an inverse image of the stock market gains. 10. That is, in each step, we choose at random one of the inverse images of " f ".
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