We examine the formation of sets homeomorphic to the ternary Cantor set by continued radicals. We determine properties of bridges and gaps and calculate the thickness of the Cantor set. From this we apply information from continued fractions to continued radicals to obtain new results. We also consider the measure of several Cantor sets.

Diploma thesis is focused on design and strenght calculation of the separator according to ČSN EN 13 445. Introductory part introduce problems with design of separators, in the other parts there is a design and strenght calculation of separator according to ČSN EN 14 445, unfired pressure vessels, part 3 - Design, FEM analysis in ANSYS Workbench and stress categorization of the results.