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On the $c_0$-extension property for compact lines

Published 3 Mar 2014 in math.FA | (1403.0605v1)

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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