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The Family of Central Cantor Sets with Packing Dimension Zero

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[1] APPELL, J.—D’ANIELLO, E.—VÄTH, M.: Some remarks on small sets, Ric. Math. 50 (2001), 255–274. Search in Google Scholar

[2] BALCERZAK, M.—FILIPCZAK, T.—NOWAKOWSKI, P.: Families of symmetric Cantor sets from the category and measure viewpoints, Georgian Math. J. 26 (2019), 545–553.10.1515/gmj-2019-2039 Search in Google Scholar

[3] BILLINGSLEY, P.: Probability and measure. Wiley and Sons, New York, 1979. Search in Google Scholar

[4] FALCONER, K.: Fractal Geometry: Mathematical Foundations and Applications. John Wiley & Sons, New York, 1990.10.2307/2532125 Search in Google Scholar

[5] GARCIA, I.—ZUBERMAN, L.: Exact packing measure of central Cantor sets in the line, J. Math. Anal. Appl. 386 (2012), 801–812.10.1016/j.jmaa.2011.08.044 Search in Google Scholar

[6] HORBACZEWSKA, G.—KARASIŃSKA, A.—WAGNER-BOJAKOWSKA, E.: Properties of the σ-ideal of microscopic sets. In: Traditional and Pesent-Day Topics in Real Analysis (M. Filipczak et al. eds.), Faculty of Mathematics and Computer Science, Łódź Univ Press, Łódź, 2013. pp. 323–343,10.18778/7525-971-1.20 Search in Google Scholar

[7] KARDOS, J.: Hausdorff dimension of symmetric Cantor sets, Acta Math. Hungar. 84 (1999), 257–266.10.1023/A:1006665331157 Search in Google Scholar

[8] PEDERSEN, S.—PHILLIPS, J.: Exact Hausdorff measure of certain non-self-similar Cantor sets, Fractals 21 (2013), 1350016.10.1142/S0218348X13500163 Search in Google Scholar

[9] QU, C. Q.—RAO, H.—SU, W. Y.: Hausdorff measure of homogeneous Cantor set, Acta Math. Sin. English Series 17 (2001).10.1007/s101140000089 Search in Google Scholar

[10] THOMSON, B.: Real Functions. Springer, New York, 1985.10.1007/BFb0074380 Search in Google Scholar

[11] ZAJÍČEK, L.: Porosity and σ-porosity, Real Anal. Exchange 13 (1987), 314–350.10.2307/44151885 Search in Google Scholar

eISSN:
1338-9750
Langue:
Anglais
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3 fois par an
Sujets de la revue:
Mathematics, General Mathematics