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Two definitions of fractional dimension

Published online by Cambridge University Press:  24 October 2008

Claude Tricot Jr
Claude Tricot Jr
Affiliation:
University of Liverpool
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Extract

The main properties of the Hausdorff dimension, here denoted by dim, are

In ℝp, in variance under a group Н of homeomorphisms: ∀HεH, dim О H = dim. The definition of H, introduced in (15) and (16), is recalled in § 2.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 91 , Issue 1 , January 1982 , pp. 57 - 74
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

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