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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 2nd 2012
    • (edited Sep 24th 2012)

    thought we’d need an entry homotopy category of chain complexes

    • CommentRowNumber2.
    • CommentAuthorjim_stasheff
    • CommentTimeSep 3rd 2012
    perhaps with a distinction from and/or link to higher homotopies
    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 24th 2012
    • (edited Sep 24th 2012)

    I have expanded homotopy category of chain complexes by adding a few basics.

    In the course of this I have also touched the formatting of the following entries:

    Will be further working on derived category now.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeSep 24th 2012
    • (edited Sep 24th 2012)

    I needed to spell out somewhere a very basic expositional example of what goes wrong in 𝒦(𝒜)\mathcal{K}(\mathcal{A}) that is rectified in the derived category such that the example roughly motivates the idea of projective resolutions. I ended up putting it here into a new section Examples - Chain homotopies that ought to exist but do not. It could probably go elsewhere just as well.

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