论文标题
在无限维度的双倍条件下
On the doubling condition in the infinite-dimensional setting
论文作者
论文摘要
我们提出了一种系统的方法，即是否可以在Coifman（Weiss的意义）中使拓扑无限的二维空间成为同质的方法。如预期的那样，对检查问题的答案是负面的。我们带有此属性的空间的领先代表是$ \ mathbb {t}^ω= \ mathbb {t} \ times \ times \ mathbb {t} \ times \ cdots $带有天然产品拓扑。
We present a systematic approach to the problem whether a topologically infinite-dimensional space can be made homogeneous in the Coifman--Weiss sense. The answer to the examined question is negative, as expected. Our leading representative of spaces with this property is $\mathbb{T}^ω = \mathbb{T} \times \mathbb{T} \times \cdots$ with the natural product topology.
