Two open problems on effective dimension
Pages 353 - 359
Abstract
Effective fractal dimension was defined by Lutz [13]in order to quantitatively analyze the structure of complexity classes. The dimension of a class X inside a base class ${\mathcal{C}}$ is a real number in [0,1] corresponding to the relative size of $X \cap \mathcal{C}$ inside $\mathcal{C}$. Basic properties include monotonicity, so dimension 1 classes are maximal and dimension 0 ones are minimal, and the fact that dimension is defined for every classX, making effective dimension a precise quantitative tool.
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June 2006
606 pages
ISBN:3540354662
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Springer-Verlag
Berlin, Heidelberg
Publication History
Published: 30 June 2006
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