Inspired on the work that Professor Janusz R. Prajs did on homogeneous metric continua in his paper Mutually Aposyndetic Decomposition of Homogeneous Continua, [Canad. J. Math., 62 (2010), 182-201] and the version of his work for Hausdorff continua with the uniform property of Effros done by this author, we introduce a new set function, $\wp$, and present properties of it.

I will give my talk virtually.