Simplified Construction of Integer Dimension Hausdorff Measures

Abstract: A simplified construction of the integer dimension Hausdorff measures is given applying methods of geometry and generalized convergence. This construction prioritizes integration, yields the Area Formula as a byproduct of the construction and the Coarea Formula follows indirectly from the smooth case. Though this construction is not as general as the traditional one, it provides a much simpler introduction to the topic and is enough for certain applications to Geometric Analysis.