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 to .

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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