On the $c_0$-extension property for compact lines

Claudia Correa; Daniel V. Tausk

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arXiv · 1403.0605

On the $c_0$-extension property for compact lines

Claudia Correa·Daniel V. Tausk

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Abstract

We present a characterization of the continuous increasing surjections $\phi:K\to L$ between compact lines $K$ and $L$ for which the corresponding subalgebra $\phi^*C(L)$ has the $c_0$-extension property in $C(K)$. A natural question arising in connection with this characterization is shown to be independent of the axioms of ZFC.

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BibTeX RIS

Claudia Correa, Daniel V. Tausk. 2014-03-03. On the $c_0$-extension property for compact lines. https://arxiv.org/abs/1403.0605

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