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- W3118161052 abstract "We compute the Szlenk index of an arbitrary projective tensor product $C(K)widehat{otimes}_pi C(L)$ of spaces $C(K), C(L)$ of continuous functions on scattered, compact, Hausdorff spaces. In particular, we show that it is simply equal to the maximum of the Szlenk indices of the spaces $C(K), C(L)$. We deduce several results regarding non-isomorphism of $C(K)widehat{otimes}_pi C(L)$ and $C(M)$ or $C(M)widehat{otimes}_pi C(N)$ for particular choices of $K,L,M,N$." @default.
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- W3118161052 date "2021-04-06" @default.
- W3118161052 modified "2023-10-03" @default.
- W3118161052 title "Szlenk index of $C(K)widehat{otimes}_pi C(L)$" @default.
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