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M. H. A. Newman Elements of the topology of plane sets of points, Cambridge, 1939. MR 0044820 (13:483a)

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T. Radó Über das Flächenmass rektifizierbarer Flächen, Math. Ann. vol. 100 (1928) pp. 445-479. MR 1512495

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T. Radó and P. Reichelderfer A theory of absolutely continuous transformations in the plane, Trans. Amer. Math. Soc. vol. 49 (1941) pp. 258-307. MR 0003698 (2:257a)

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P. V. Reichelderfer On bounded variation and absolute continuity for parametric representations of continuous surfaces, Trans. Amer. Math. Soc. vol. 53 (1943) pp. 251-291. MR 0007917 (4:213e)

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J. Schauder Über stetige Abbildungen, Fund. Math. vol. 12 (1928) pp. 47-74.