On fractals which are not so terrible

António M. Caetano. "On fractals which are not so terrible." Fundamenta Mathematicae 171.3 (2002): 249-266. <http://eudml.org/doc/283130>.

@article{AntónioM2002,
abstract = {The notion of NST domain and the closely related notion of ball condition, both topological in nature and quite useful within the theory of function spaces, are compared with each other (and with the older concept of porosity) and also with other notions of interest, like those of d-set and of interior regular domain, which have a measure-theoretical nature. Also, after extending the idea of NST (not so terrible) to a larger class of sets, the property is studied in the context of anisotropic self-affine fractals.},
author = {António M. Caetano},
journal = {Fundamenta Mathematicae},
keywords = {not so terrible sets; porosity; ball condition; self-affine sets; Hausdorff measure},
language = {eng},
number = {3},
pages = {249-266},
title = {On fractals which are not so terrible},
url = {http://eudml.org/doc/283130},
volume = {171},
year = {2002},
}

TY - JOUR
AU - António M. Caetano
TI - On fractals which are not so terrible
JO - Fundamenta Mathematicae
PY - 2002
VL - 171
IS - 3
SP - 249
EP - 266
AB - The notion of NST domain and the closely related notion of ball condition, both topological in nature and quite useful within the theory of function spaces, are compared with each other (and with the older concept of porosity) and also with other notions of interest, like those of d-set and of interior regular domain, which have a measure-theoretical nature. Also, after extending the idea of NST (not so terrible) to a larger class of sets, the property is studied in the context of anisotropic self-affine fractals.
LA - eng
KW - not so terrible sets; porosity; ball condition; self-affine sets; Hausdorff measure
UR - http://eudml.org/doc/283130
ER -