Liulan Li
Abstract
In this article, we prove that three statements of discreteness of Möbius groups in infinite dimension are equivalent, which are generalizations of the corresponding results in finite dimension. We also give an example to show that one discrete statement of finite dimension does not hold in infinite dimension.
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In this article, we prove that three statements of discreteness of Möbius groups in infinite dimension are equivalent, which are generalizations of the corresponding results in finite dimension. We also give an example to show that one discrete statement of finite dimension does not hold in infinite dimension.
Key concepts: Mathematics, Dimension (graph theory), Inductive dimension, Dimension function, Dimension theory (algebra), Statement (logic), Pure mathematics, Effective dimension