Goncharov, AlexanderŞengül Tezel, Yasemin2022-02-172022-02-172021-07-271300-0098http://hdl.handle.net/11693/77471We give a formula for the logarithmic dimension of the generalized Cantor-type set K . In the case when the logarithmic dimension of K is smaller than 1, we construct a Faber basis in the space of Whitney functions E(K).EnglishTopological basesWhitney spacesHausdorff dimensionLogarithmic capacityArticle10.3906/mat-2009-301303-6149