Dense smooth points on zero sets of smooth ideals do not imply the ideal is Łojasiewicz; functions with Hawaiian earring zero sets are necessarily flat at the accumulation point.
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On {\L}ojasiewicz Ideals and Flatness for Zero Sets with Infinite Tangential Geometry
Dense smooth points on zero sets of smooth ideals do not imply the ideal is Łojasiewicz; functions with Hawaiian earring zero sets are necessarily flat at the accumulation point.