Hausdorff measure functions in the space of compact subsets of the unit interval
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- by P. R. Goodey PDF
- Trans. Amer. Math. Soc. 226 (1977), 203-208 Request permission
Abstract:
The work done in this paper is the result of an attempt to classify those functions h for which the corresponding Hausdorff measure of $\mathcal {F}[0,1]$ is zero. A partial characterization is achieved and in doing this some problems of E. Boardman are solved.References
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- A. Dvoretzky, A note on Hausdorff dimension functions, Proc. Cambridge Philos. Soc. 44 (1948), 13–16. MR 22896, DOI 10.1017/S0305004100023938
- C. A. Rogers, Hausdorff measures, Cambridge University Press, London-New York, 1970. MR 0281862
- C. A. Rogers and S. J. Taylor, Additive set functions in Euclidean space. II, Acta Math. 109 (1963), 207–240. MR 160860, DOI 10.1007/BF02391813
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 226 (1977), 203-208
- MSC: Primary 28A75
- DOI: https://doi.org/10.1090/S0002-9947-1977-0427600-9
- MathSciNet review: 0427600