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Chiffi, Antonio

Sezioni di insiemi \(k\)-rettificabili. (Italian) Zbl 0106.26801

Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 16, 173-193 (1962).
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Keywords:

differentiation and integration, measure theory
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References:

[1] R. Caccioppoli : Misura e integrazione sugli insiemi dimensionalmente orientati . Rend. Acc. Naz. Lincei , S. VIII , vol. 12 ( 1952 ) ; nota I a pag. 3 e nota II a pag. 137 . MR 47118 | Zbl 0048.03704 · Zbl 0048.03704
[2] C. Carathéodory : Vorlesungen über reellen Funktionen , 2 ed. 1927 . JFM 53.0225.16 · JFM 53.0225.16
[3] S. Eilenberg : On \varphi measures . Annales Soc. Pol. Math. vol. 17 ( 1938 ) pag. 251 .
[4] H. Federer : The (\Phi , k) rectifiable subsets of n space . Transactions of the American Math. Soc. vol. 62 ( 1947 ) pp. 114 - 192 . Zbl 0032.14902 · Zbl 0032.14902 · doi:10.2307/1990632
[5] H. Federer : Measure and area . Bull. of the American Mathem. Soc. vol. 58 ( 1952 ); pp. 306 - 378 . Article | MR 49289 | Zbl 0046.28402 · Zbl 0046.28402 · doi:10.1090/S0002-9904-1952-09586-0
[6] H. Federer : Normal and integral currents : Annals of Mathematics. vol. 72 ( 1960 ); pp. 458 - 520 . MR 123260 | Zbl 0187.31301 · Zbl 0187.31301 · doi:10.2307/1970227
[7] M.D. Kirszbraun : Über die zusammenziehende und Lipschitzsche Transformationen . Fundamenta Mathematicae , vol. 22 . ( 1934 ), pp. 77 - 108 . Article | Zbl 0009.03904 | JFM 60.0532.03 · Zbl 0009.03904
[8] A.P. Morse and J.F. Randolph : The \Phi rectifiable subsets of the plane . Transactions of the American Math. Soc. vol. 55 ( 1944 ) pp. 236 - 305 . Zbl 0060.14002 · Zbl 0060.14002 · doi:10.2307/1990191
[9] S. Saks : Theory of the integral . Varsavia , 1937 . Zbl 0017.30004 | JFM 63.0183.05 · Zbl 0017.30004
[10] J. Schauder : The theory of surface measure . Fundamenta Mathematicae , VIII ( 1926 ), pp. 1 - 40 . Article | JFM 52.0250.02 · JFM 52.0250.02
[11] H. Whitney : On totally differentiable and smooth functions . Pacific Journal of Mathematics , vol. I ( 1951 ), pp. 143 - 159 . Article | MR 43878 | Zbl 0043.05803 · Zbl 0043.05803 · doi:10.2140/pjm.1951.1.143
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