The authors construct a metric space whose transfinite asymptotic dimension and complementary-finite asymptotic dimension are both 2ω+1,whereωis the smallest infinite ordinal number.Therefore,an example of a metric ...The authors construct a metric space whose transfinite asymptotic dimension and complementary-finite asymptotic dimension are both 2ω+1,whereωis the smallest infinite ordinal number.Therefore,an example of a metric space with asymptotic property C is obtained.展开更多
基金supported by the National Natural Science Foundation of China(Nos.12071183,11871342).
文摘The authors construct a metric space whose transfinite asymptotic dimension and complementary-finite asymptotic dimension are both 2ω+1,whereωis the smallest infinite ordinal number.Therefore,an example of a metric space with asymptotic property C is obtained.
