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    • CommentRowNumber1.
    • CommentAuthorTodd_Trimble
    • CommentTimeApr 14th 2016

    Under definition 1 of salamander lemma, I fixed a mistake in the definition of A A_\Box where there was a direct sum of two submodules, where there needed to be a sum (i.e., join) instead.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeApr 14th 2016

    Thanks for catching this.

    And thanks for looking into writing out a proof of the braid lemma, if I am guessing correctly that this is what you are doing?! :-)

    • CommentRowNumber3.
    • CommentAuthorTodd_Trimble
    • CommentTimeApr 14th 2016

    I hope to be doing that, yes; it may take a little while because I’ve never looked carefully at the salamander lemma – I’ve only had an idea what it was good for.

    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeApr 14th 2016
    • (edited Apr 14th 2016)

    Also in salamander lemma, looking at the zig-zags after remark 3, they look off. The \swarrows should pertain to vertical differentials according to 2. under remark 3, but in the zig-zags below the \swarrows go from X k+1,lX_{k+1,l}_\Box to X k,l^\Box X_{k, l}, i.e., an extramural map corresponding to a horizontal differential X k+1,lX k,lX_{k+1, l} \to X_{k, l}. So I assume the arrows in both zig-zags should be switched to the opposite directions.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeApr 15th 2016
    • (edited Apr 15th 2016)

    Thanks, Todd. Right now I don’t have the leisure to check. I could check later today. But if you looked at it and think it’s a typo, I suppose you should feel free to fix it.

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