Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904135 | Topology and its Applications | 2018 | 10 Pages |
Abstract
In this paper, we are concerned with the study of metric spaces with complexity of the smallest infinite ordinal number. We give equivalent formulations of the definition of metric spaces with complexity of the smallest infinite ordinal number and prove that the exact complexity of the finite product ZâZÃZâZÃâ¯ÃZâZ of wreath products is Ï, where Ï is the smallest infinite ordinal number. Consequently, we obtain that the complexity of (ZâZ)âZ is Ï+1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Yan Wu, Jingming Zhu,