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nLab > Latest Changes: tensor product of chain complexes

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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 18th 2012
    • (edited Sep 18th 2012)

    following public demand, I added to tensor product of chain complexes a detailed elementary discussion of the tensor product I •⊗I •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.

    • CommentRowNumber2.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 4th 2020

    Copied a MathOverflow answer about tensor products as Day convolutions.

    Unable to make the \begin{cases} … \end{cases} work. \array and \begin{aligned} do not work either.

    The error messages are meaningless, I am giving up after several attempts.

    diff, v14, current

    • CommentRowNumber3.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 4th 2020

    Trying to resolve a problem with mysteriously disappearing text after a displayed formula $$ … $$.

    Appears to be a parser bug.

    diff, v14, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMay 4th 2020

    If you give me a pointer to the code on MO, I’ll try to convert it.

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 4th 2020
    • (edited May 4th 2020)

    The MathOverflow code is this one:

    $$P(i,j;k) = \begin{cases} \mathbb{Z} & \mathrm{if\,\,} i+j=k, \\
\mathbb{Z} \oplus \mathbb{Z} & \mathrm{if\,\,} i+j=k+1, \\
\mathbb{Z} & \mathrm{if\,\,} i+j=k+2, \\
0 & \mathrm{else}.
\end{cases}$$
    • CommentRowNumber6.
    • CommentAuthorRichard Williamson
    • CommentTimeMay 4th 2020
    • (edited May 4th 2020)

    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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