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Update properties/P000085.md
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Co-authored-by: Moniker1998 <[email protected]>
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prabau and Moniker1998 authored Jan 21, 2025
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The closure of every cozero set in $X$ is open (hence clopen).

A *cozero set* is a set of the form $\{x\in X:f(x)>0\}$ for some continuous function $f:X\to\mathbb R$;
that is, the complement of a zero set.
equivalently, the complement of a zero set.

Equivalently, any two disjoint open sets, at least one of which is a cozero set, have disjoint closures.

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