Let K be a compact set in Rn with Hausdorff dimension h. The distance set D of K is the set of absolute values of the difference of x and y for every two points x and y in K. A major open problem in geometric measure theory is the distance set problem (a
Description:
Thesis (M.S.)--American University of Beirut, Department of Mathematics, 2011.;"Advisor : Dr. Bassam Shayya, Professor, Mathematics Members of Committee : Dr. Farouk Abi-Khuzam, Professor, Mathematic Dr. Hazar Abu- Khuzam, Professor, Mathematics."
