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Reference.org
Geometric measure theory
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, geometric measure theory (GMT) is the study of <a href="/facts/Geometry/wTQf5ffQ">geometric</a> properties of <a href="/facts/Set_(mathematics)/BfucfHMq">sets</a> (typically in <a href="/facts/Euclidean_space/R2UbzmzM">Euclidean space</a>) through <a href="/facts/Measure_(mathematics)/yCq7zlI4">measure theory</a>. It allows mathematicians to extend tools from <a href="/facts/Differential_geometry/c04XmyLu">differential geometry</a> to a much larger class of <a href="/facts/Surface_(topology)/jK1b1KIG">surfaces</a> that are not necessarily <a href="/facts/Differentiable_manifold/aSnbXKcV">smooth</a>. </p>