# Wydawnictwa / Czasopisma IMPAN / Fundamenta Mathematicae / Wszystkie zeszyty

## Separation conditions on controlled Moran constructions

### Tom 200 / 2008

Fundamenta Mathematicae 200 (2008), 69-100 MSC: Primary 28A80; Secondary 37C45. DOI: 10.4064/fm200-1-2

#### Streszczenie

It is well known that the open set condition and the positivity of the $t$-dimensional Hausdorff measure are equivalent on self-similar sets, where $t$ is the zero of the topological pressure. We prove an analogous result for a class of Moran constructions and we study different kinds of Moran constructions in this respect.

#### Autorzy

• Antti KäenmäkiDepartment of Mathematics and Statistics
FI-40014 University of Jyväskylä, Finland
e-mail
• Markku VilppolainenDepartment of Mathematics and Statistics