The Hausdorff measure of a class of Sierpinski carpets |
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Authors: | Yahan Xiong |
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Institution: | Department of Mathematics, Sichuan Normal University, Chengdu 610066, PR China |
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Abstract: | In this paper we obtain the exact value of the Hausdorff measure of a class of Sierpinski carpets with Hausdorff dimension no more than 1 and show the fact that the Hausdorff measure of such Sierpinski carpets can be determined by coverings which only consist of basic squares. |
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Keywords: | Hausdorff measure and dimension Sierpinski carpet |
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