We construct twisted sums of $C[0,1]$ with itself in which the quotient map does not fix any copy of either $C[0,1]$ or $c_0$. We moreover show that every twisted sum of $c_0(\Gamma)$ must have Pelczynsky's property (V).
"Property (V) still fails the three-space property" / Castillo, J. M. F.; Simoes, Marilda. - In: EXTRACTA MATHEMATICAE. - ISSN 0213-8743. - STAMPA. - 27:(2012), pp. 5-11.
"Property (V) still fails the three-space property"
SIMOES, Marilda
2012
Abstract
We construct twisted sums of $C[0,1]$ with itself in which the quotient map does not fix any copy of either $C[0,1]$ or $c_0$. We moreover show that every twisted sum of $c_0(\Gamma)$ must have Pelczynsky's property (V).File allegati a questo prodotto
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