inductive dimension造句

"Inductive Dimensions of Completely Regular Spaces ", Tbilisi State University, 1977.
For example, the boundary of a ball in looks locally like and this leads to the notion of the inductive dimension.
For topological spaces there are several dimension concepts including inductive dimension and Hausdorff dimension, which can be non-integer ( especially for fractals ).
Likewise, a text based on topological spaces ( for example, the article " homotopy ", or " inductive dimension " ) does not specify the used definition of a topological space.
The small and large inductive dimensions are two of the three most usual ways of capturing the notion of " dimension " for a topological space, in a way that depends only on the topology ( and not, say, on the properties of a metric space ).
It's difficult to find inductive dimension in a sentence. 用inductive dimension造句挺难的

The inductive dimension of a topological space may refer to the " small inductive dimension " or the " large inductive dimension ", and is based on the analogy that )-dimensional } } balls have-dimensional boundaries, permitting an inductive definition based on the dimension of the boundaries of open sets.
The inductive dimension of a topological space may refer to the " small inductive dimension " or the " large inductive dimension ", and is based on the analogy that )-dimensional } } balls have-dimensional boundaries, permitting an inductive definition based on the dimension of the boundaries of open sets.
The inductive dimension of a topological space may refer to the " small inductive dimension " or the " large inductive dimension ", and is based on the analogy that )-dimensional } } balls have-dimensional boundaries, permitting an inductive definition based on the dimension of the boundaries of open sets.