A point is the limit of a map along an ultrafilter on when for every neighbourhood of . Every ultrafilter on a compact space has a limit, and that limit is unique in a Hausdorff space.
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As of my last knowledge update in October 2023, "Ultralimit" could refer to various concepts depending on the context in which it is used. However, there wasn't a widely recognized or specific definition for "Ultralimit" in major fields such as technology, science, or popular culture.