%0 Journal Article 
%A Fernández Martínez, Manuel
%A García Guirao, Juan Luis
%A Sánchez Granero, Miguel Ángel
%T Calculating hausdorff dimension in higher dimensional spaces
%D 2019
%@ 2073-8994
%U http://hdl.handle.net/10317/9643
%X In this paper, we prove the identity Hausdorff dimension, FRdand :[0,1][0,1]din a more general setting. Thus, Hausdorff dimension of higher dimensional subsets can be calculated from Hausdorff dimension of 1-dimensional subsets of [0,1]. As a consequence, Hausdorff dimension becomes available to deal with the effective calculation of the fractal dimension in applications by applying a procedure contributed by the authors in previous works. It is also worth pointing out that our results generalize both Skubalska-Rafajowicz and Garcia-Mora-Redtwitz theorems.
%K Matemática Aplicada
%K Hausdorff dimension
%K Fractal structure
%K Space-filling curve
%K 33 Ciencias Tecnológicas
%K 12 Matemáticas
%~ GOEDOC, SUB GOETTINGEN