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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Hausdorff measure functions in the space of compact subsets of the unit interval


Author: P. R. Goodey
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
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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.


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DOI: https://doi.org/10.1090/S0002-9947-1977-0427600-9
Article copyright: © Copyright 1977 American Mathematical Society