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following public demand, I added to tensor product of chain complexes a detailed elementary discussion of the tensor product $I_\bullet \otimes I_\bullet$ of the (normalized) chain interval with itself, and how it gives chains on the cellular square: in Square as tensor product of interval with itself.
If you give me a pointer to the code on MO, I’ll try to convert it.
The MathOverflow code is this one:
$$P(i,j;k) = \begin{cases} \mathbb{Z} & \mathrm{if\,\,} i+j=k, \\
\mathbb{Z} \oplus \mathbb{Z} & \mathrm{if\,\,} i+j=k+1, \\
\mathbb{Z} & \mathrm{if\,\,} i+j=k+2, \\
0 & \mathrm{else}.
\end{cases}$$
Hi Dmitri, I am not sure what you were attempting, but I have modified the entry now to use more or less exactly this code, and it works fine. Double dollars should have a blank line before and after; maybe that was the cause of the problems you ran into. Itex2MML didn’t seem to like the \,
inside the \mathrm
, so I just added some space in a different way.
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