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arXiv · 2012.01849

Musing on Kunen's compact $L$-space

Grzegorz Plebanek
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Abstract

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.

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Grzegorz Plebanek. 2020-12-03. Musing on Kunen's compact $L$-space. https://arxiv.org/abs/2012.01849

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