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Hausdorff measure and level sets of typical continuous mappings in Euclidean spaces


Author: Bernd Kirchheim
Journal: Trans. Amer. Math. Soc. 347 (1995), 1763-1777
MSC: Primary 26B99; Secondary 28A78, 46E15
DOI: https://doi.org/10.1090/S0002-9947-1995-1260171-7
MathSciNet review: 1260171
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Abstract | References | Similar Articles | Additional Information

Abstract: We determine the Hausdorff dimension of level sets and of sets of points of multiplicity for mappings in a residual subset of the space of all continuous mappings from $ {\mathbb{R}^n}$ to $ {\mathbb{R}^m}$.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1995-1260171-7
Keywords: Level set, space of continuous mappings, Hausdorff dimension
Article copyright: © Copyright 1995 American Mathematical Society

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