This is an announcement for the paper "On the $c_0$-extension property for compact lines" by Claudia Correa and Daniel V. Tausk.

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.

Archive classification: math.FA

Mathematics Subject Classification: 46B20, 46E15, 54F05

Remarks: 12 pages

Submitted from: tausk@ime.usp.br

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1403.0605

or

http://arXiv.org/abs/1403.0605