The subprojectivity of the projective tensor product of two 𝐶(𝐾) spaces with |𝐾|=ℵ₀

Galego, Elói; Samuel, Christian

doi:10.1090/proc/12926

The subprojectivity of the projective tensor product of two $C(K)$ spaces with $|K|=\aleph _{0}$
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by Elói Medina Galego and Christian Samuel

Proc. Amer. Math. Soc. 144 (2016), 2611-2617

DOI: https://doi.org/10.1090/proc/12926

Published electronically: October 22, 2015

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Abstract:

We prove that the projective tensor product of two $C(K)$ spaces, where $K$ is an infinite countable metric compact space, is $c_{0}$-saturated and is therefore a subprojective space. This completes some recent work on subprojectivity of projective tensor products involving $C(K)$ spaces by T. Oikhberg and E. Spinu.

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