Intermediate results of independent interest include upper bounds of different versions of P. Jones's -numbers in terms of integral Menger curvature without assuming lower Ahlfors regularity, in contrast to the results of Lerman and Whitehouse [Constr. References [Enhancements On Off] What's this?

Adams and John J. Fournier , Sobolev spaces , 2nd ed. MR [6] James J. MR [7] Lawrence C. Evans and Ronald F. MR [8] K. Falconer , The geometry of fractal sets , Cambridge Tracts in Mathematics, vol. MR [10] Michael H. Jones , Rectifiable sets and the traveling salesman problem , Invent.

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Jones , The traveling salesman problem and harmonic analysis , Publ. Conference on Mathematical Analysis El Escorial, Tyler Whitehouse , High-dimensional Menger-type curvatures. Part I: Geometric multipoles and multiscale inequalities , Rev. Fractals and rectifiability.

This text can be used for a topics course or seminar in complex analysis. To understand it, the reader should have a firm grasp of basic real and complex analysis. Probability and Measure.

## Vitushkin's Conjecture for Removable Sets

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