论文标题
沉思着库嫩的紧凑型$ l $ -space
Musing on Kunen's compact $L$-space
论文作者
论文摘要
我们提出了由Kenneth Kunen在CH下建造的紧凑型$ L $ -SPACE的连接版本。我们表明,这提供了Corson Compact Space $ K $,因此Banach Space $ C(k)$在零维压缩上没有连续功能的同构。
We present a connected version of the compact $L$-space constructed by Kenneth Kunen under CH. We show that this provides a Corson compact space $K$ such that the Banach space $C(K)$ is isomorphic to no space of continuous function on a zero-dimensional compactum.