Inserted: 27 jan 2010
Last Updated: 16 nov 2012
Journal: Discrete Contin. Dyn. Sys.
We discuss some recent developments of the theory of $BV$ functions and sets of finite perimeter in infinite-dimensional Gaussian spaces. In this context the concepts of Hausdorff measure, approximate continuity, rectifiability have to be properly understood. After recalling the known facts, we prove a Sobolev-rectifiability result and we list some open problems.
Keywords: Sets of finite perimeter, Rectifiability, BV functions, Wiener space