A Number Of Symbolic Space Transfer Of Self-mappings Of Hausdorff Dimension Of Chaotic Collection

In this paper, we discuss the shiftσin countable symbolic space∑_∞. And we prove there exists a Xiong chaotic set C with full Hausdorff dimension everywhere (i.e. the Hausdorff dimension of the intersection of C and every non-empty open set of∑_∞is the same with the Hausdorff dimension of the non-empty open set).