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Displaying similar documents to “On the Mellin Transforms of Dirac’S Delta Function, The Hausdorff Dimension Function, and The Theorem by Mellin”

Transverse Hausdorff dimension of codim-1 C2-foliations

Takashi Inaba, Paweł Walczak (1996)

Fundamenta Mathematicae

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The Hausdorff dimension of the holonomy pseudogroup of a codimension-one foliation ℱ is shown to coincide with the Hausdorff dimension of the space of compact leaves (traced on a complete transversal) when ℱ is non-minimal, and to be equal to zero when ℱ is minimal with non-trivial leaf holonomy.