Musing on Kunen's compact $L$-space

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.

11 pages

Cited by in corpus (1)

• A Banach space $C(K)$ reading the dimension of $K$