ArticleOriginal scientific textThe dimension of
Title
The dimension of where X is a separable metric space
Authors 1
Affiliations
- George Mason University, Fairfax, Virginia, U.S.A.
Abstract
For a separable metric space X, we consider possibilities for the sequence where . In Section 1, a general method for producing examples is given which can be used to realize many of the possible sequences. For example, there is such that , , for n >1, such that , and Z such that S(Z) = {4, 4, 6, 6, 7, 8, 9,...}. In Section 2, a subset X of is shown to exist which satisfies and .
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Additional information
http://matwbn.icm.edu.pl/ksiazki/fm/fm150/fm15015.pdf