论文标题
在零维的顺序空间上
On zero dimensional sequential spaces
论文作者
论文摘要
我们开发工具以识别具有较大电感尺寸的顺序空间。我们显示，夏威夷耳环$ g $是0维数，当具有与紧凑的开放拓扑结构的基于基的循环空间继承的商时。尤其是$ g $是$ t_4 $，因此包含$ g \ rightarrow f_m（g）$是马尔可夫的拓扑嵌入$ f_m（g）$中的拓扑。
We develop tools to recognize sequential spaces with large inductive dimension zero. We show the Hawaiian earring group $G$ is 0 dimensional, when endowed with the quotient topology, inherited from the space of based loops with the compact open topology. In particular $G$ is $T_4$ and hence inclusion $G \rightarrow F_M (G)$ is a topological embedding into the free topological group $F_M (G)$ in the sense of Markov.
