A survey on fractal dimension for fractal structures

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Sep 08, 2016

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Theoretical properties	dim_B	${dim}_{Γ}^{1}$ $\begin{array}{} {\rm{dim}}_{\bf{\Gamma }}^1 \end{array}$	${dim}_{Γ}^{2}$ $\begin{array}{} {\rm{dim}}_{\bf{\Gamma }}^2 \end{array}$	${dim}_{Γ}^{3}$ $\begin{array}{} {\rm{dim}}_{\bf{\Gamma }}^3 \end{array}$	${dim}_{Γ}^{4}$ $\begin{array}{} {\rm{dim}}_{\bf{\Gamma }}^4 \end{array}$	${dim}_{Γ}^{5}$ $\begin{array}{} {\rm{dim}}_{\bf{\Gamma }}^5 \end{array}$	${dim}_{Γ}^{6}$ $\begin{array}{} {\rm{dim}}_{\bf{\Gamma }}^6 \end{array}$	dim_H
Monotonicity	1	1	1	1	1	1	1	1
Finite stability	1	1	0	1	1	1	1	1
Countable stability	0	0	0	0	0	1	1	1
Countable sets	0	0	0	0	0	1	1	1
Closure dimension	0	1	1	1	0	1	1	1

Publication timeframe:: 1 times per year
Journal Subjects:: Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other