Item 7 (01FV) — The Clowder Project

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Interaction With Intersections I. We have a natural transformation

with components

\[ \bigcup _{W\in \mathcal{U}\cap \mathcal{V}}W\subset \webleft(\bigcup _{U\in \mathcal{U}}U\webright)\cap \webleft(\bigcup _{V\in \mathcal{V}}V\webright) \]

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

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