A topology arising from a sheaf of continuous functions. It derives a natural topology from the projection operator. Etale spaces are examples of space that are not T2.
Etale Space
This entry contributed by Todd Rowland
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Rowland, Todd. "Etale Space." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/EtaleSpace.html