On the equality between the infimum obtained by solving various Plateau's problem

1 Oct 2019 · Yangqin Fang, Vincent Feuvrier, Chunyan Liu ·

In this paper we will compare the Plateau's problem with \v{C}ech and singular homological boundary conditions, we also compare these with the size minimizing problem for integral currents with a given boundary. Finally we get the agreement on the infimum values for these Plateau's problem.