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Math Help - Exact Sequences - Diagrams that 'commute' - vertical arrows

  1. #1
    Super Member Bernhard's Avatar
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    Exact Sequences - Diagrams that 'commute' - vertical arrows

    I am reading Dummit and Foote on Exact Sequences and some of the 'diagrams that commute' have vertical arrows.

    Can someone please help me with the LaTex for these diagrams.

    I have given an example in the attachment "Exact Sequences - Diagrams with Vertical Arrows" - where I also frame my question (please see attachement)

    I have also attached Dummit and Foote Section 10.5 page 381 which has two examples of the diagrams to which I refer.

    Would be very grateful for help.

    Peter
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  2. #2
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    Re: Exact Sequences - Diagrams that 'commute' - vertical arrows

    Hello, Bernhard!

    Here's one way . . .


    \begin{array}{ccccccccc} &&& \alpha && \beta && \gamma \\ O & \to & A & \to & B & \to & C & \to & O \\ && \quad\downarrow \phi && \quad\downarrow\psi && \quad\downarrow\tau \\ O & \to & A' & \to & B' & \to & C' & \to & O \end{array}

    Code:
    \begin{array}{ccccccccc} &&& \alpha && \beta && \gamma \\
    O & \to & A & \to & B & \to & C & \to & O \\
    && \quad\downarrow \phi && \quad\downarrow\psi && \quad\downarrow\tau \\
    O & \to & A' & \to & B' & \to & C' & \to & O \end{array}
    Note: You may have to type all this in one continuous line.
    Thanks from Bernhard
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