Geodesic
On fractals which are not so terrible
António M. Caetano1
1 Departamento de Matemática Universidade de Aveiro 3810-193 Aveiro, Portugal
Fundamenta Mathematicae, Tome 171 (2002) no. 3, pp. 249-266.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm171-3-5
Keywords: notion nst domain closely related notion ball condition topological nature quite useful within theory function spaces compared each other older concept porosity other notions interest those d set interior regular domain which have measure theoretical nature after extending idea nst terrible larger class sets property studied context anisotropic self affine fractals

António M. Caetano 1

1 Departamento de Matemática Universidade de Aveiro 3810-193 Aveiro, Portugal 
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António M. Caetano. On fractals which are not so terrible. Fundamenta Mathematicae, Tome 171 (2002) no. 3, pp. 249-266. doi : 10.4064/fm171-3-5. http://geodesic.mathdoc.fr/articles/10.4064/fm171-3-5/

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