Şengül, Yasemin2016-07-012016-07-012006http://hdl.handle.net/11693/29886Cataloged from PDF version of article.In generalization of [3] we will give the formula for the logarithmic dimension of any Cantor-type set. We will demonstrate some applications of the logarithmic dimension in Potential Theory. We will construct a polynomial basis in E(K(Λ)) when the logarithmic dimension of a Cantor-type set is smaller than 1. We will show that for any generalized Cantor-type set K(Λ), the space E(K(Λ)) possesses a Schauder basis. Locally elements of the basis are polynomials. The result generalizes theorems 1 and 2 in [12].47 leavesEnglishinfo:eu-repo/semantics/openAccessLogarithmic dimensionWhitney spacesTopological basesQA322 .S45 2006Linear topological spaces.ThesisBILKUTUPB100089