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Article

Title: A note on perimeter and measure (English)
Author: Král, Josef
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 13
Issue: 1
Year: 1963
Pages: 139-147
Summary lang: Russian
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Category: math
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MSC: 28.99
idZBL: Zbl 0116.27303
idMR: MR0151579
DOI: 10.21136/CMJ.1963.100556
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Date available: 2008-06-09T13:17:23Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/100556
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Reference: [1] П. С. Александров: Комбинаторная топология.Москва-Ленинград 1947. Zbl 1153.11318
Reference: [2] А. S. Besicovitch: On the definition and value of the area of a surface.Quart. Journal of Math. vol. XVI (1945), 86- 102. Zbl 0063.00350, MR 0014415, 10.1093/qmath/os-16.1.86
Reference: [3] E. De Giorgi: Su una teoria generale della misura (r - l)-dirnensionale in uno spazio ad r dimensioni.Annali di Mat. pura ed applicata, ser. IV, tomo XXXVI (1954), 191-213.
Reference: [4] E. De Giorgi: Nuovi teoremi relativi alle misure (r - 1)-dirnensionali in uno spazio ad r dimensioni.Ricerche di Mat., vol. IV (1955), 95-113. MR 0074499
Reference: [5] H. Federer: A note on the Gauss-Green theorem.Proc. Amer. Math. Soc. vol. 9 (1958), 447-451. Zbl 0087.27302, MR 0095245, 10.1090/S0002-9939-1958-0095245-2
Reference: [6] W. H. Fleming: Functions whose partial derivatives are measures.Illinois Journal of Math.. vol. (1960), 452-478. Zbl 0151.05402, MR 0130338, 10.1215/ijm/1255456061
Reference: [7] J. Král: Poznámka o množinách, jejichž charakteristická funkce má za derivaci zobecněnou míru.Časopis pro pěst. mat. 86 (1961), 178- 194. MR 0136697
Reference: [8] И. Крал (J. Král): О лебеговой площади замкнутых поверхностей.Чех. мат. жур. 9 (84) 1959,470-471. MR 0111822
Reference: [9] И. Крал (J. Král): О лебеговой площади простых замкнутых поверхностей.Чех. мат. жур. 12 (87) 1962,44-68. MR 0147620
Reference: [10] K. Krickeberg: Distributionen, Funktionen beschränkter Variation und Lebesguescher Inhalt nichtparametrischer Flächen.Annali di Mat. pura ed applicata vol. ZL/K(1957), 105- 133. Zbl 0082.26702, MR 0095922
Reference: [11] J. Mařík: The surface integral.Чех. мат. жур. 6 (81), 1956, 522-558. MR 0089891
Reference: [12] J. Mařík: Poznamka o délce Jordanovy křivky.Časopis pro pěst. mat. 83 (1958), 91 - 96.
Reference: [13] R. L. Wilder: Topology of manifolds.1949. Zbl 0511.57001, MR 0029491
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