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