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* If ''f'' is proper, then ''f''<sub>!</sub> equals ''f''<sub>∗</sub>.
* If ''f'' is an open [[embedding]], then ''f''<sub>!</sub> identifies with the extension by zero functor.<ref>{{Cite web |title=general topology - Proper direct image and extension by zero |url=https://math.stackexchange.com/
==References==
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