Fell拓扑中的一个嵌入
An embedding in the Fell topology
摘要:
证明了若$T_2$拓扑空间包含不可数闭离散集,则$ω_1 \times (ω_1 + 1)$嵌入为$(CL(X),τ_F)$的闭子空间,即$X$的非空闭子集的超空间,该超空间具有Fell拓扑.
英文摘要:
It is shown that if a $T_2$ topological space contains an uncountable closed discrete set, then $ω_1 \times (ω_1 + 1)$ embeds as a closed subspace of $(CL(X),τ_F)$, the hyperspace of nonempty closed subsets of $X$ equipped with the Fell topology.
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