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My Apologies. Thank You. Some Philosophy. Some Philosophy -- Continued. Some Philosophy -- Continued. Some Philosophy -- Continued. Some Philosophy -- Continued. The Problem. Some Basic Observations. Some Basic Observations -- Continued. Our problem demands that M be pathological.
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A surface can have finite Lebesgue area and still occupy positive measure
Sobolev functions can have “small” supports in the sense topology, but “large” in the sense of analysis
The proof offers some hope for solving the problem inits greatest generality
A Sobolev Function is a continuous Sobolev function on a.e. Fiber of Q