• Interaction With Inverse Images. The diagram

    commutes, i.e. we have

    \[ f^{-1}\webleft (D_{Y}\webleft (U\webright )\webright )=D_{X}\webleft (f^{-1}\webleft (U\webright )\webright ) \]

    for each $U\in \mathcal{P}\webleft (X\webright )$.


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