NONEQUALITY OF DIMENSIONS FOR METRIC SPACES
NONEQUALITY OF DIMENSIONS FOR METRIC SPACES
复制标题
度量空间的维数不相等
DOI：
10.1090/s0002-9947-1968-0227960-2
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发表时间：
1968
影响因子：
1.3
通讯作者：
P. Roy
中科院分区：
文献类型：
--
作者：
P. Roy
and Ind (S) = n if Ind (S)^n but Ind (S)Sn-l is not true. Covering dimension (=Lebesgue covering dimension), denoted by dim such that dim (S) = 1 if S is empty, dim (S) S n if every finite open cover of S has a finite open refining cover of order ^n+1, that is, no point of S belongs to more than n -I-1 members of the refinement, and dim (S)=n if dim (S) ^ n but dim (S) ^ n -1 is not true. It is well known that for separable metric space S
