A geometric approach to the topological disk theorem of Reifenberg

作者：Hong Guanghao^*; Wang Lihe

来源：Pacific Journal of Mathematics, 2007, 233(2): 321-339.

• topological disk
• Reifenberg flat
• parabolic distance

We offer a new approach to the classical topological disk theorem of Reifenberg in the codimension-1 case. Our proof, using 1/2-level sets of the smoothing of the characteristic function of the domain Omega as approximating surfaces of partial derivative Omega, is much simpler than Reifenberg's original one (1960). We also extend the result to parabolic space.

• 出版日期2007-12
• 单位西安交通大学