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nLab > Latest Changes: simplicial local system

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  1.  
    • CommentRowNumber1.
    • CommentAuthorDmitri Pavlov
    • CommentTimeOct 23rd 2019

    Cross-linked.

    diff, v12, current

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeOct 24th 2019

    I see that the whole entry is written in terms of generators (faces and degeneracies), rather than arbitrary nondecreasing maps in Δf:[m]\to [n}\mathbf{\Delta}. The clean definition of both the homological and cohomological system of coefficients on the simplicial set is given in

    • S. I. Gelfand, Yu. I. Manin, Methods of homological algebra, I.4.7

    I may write it into the entry, but later.

    • CommentRowNumber3.
    • CommentAuthorDmitri Pavlov
    • CommentTimeOct 25th 2019
    The whole entry creates a rather strange impression.

    It starts with Section 4.

    The definitions are embedded in the text and are not structured.
    • CommentRowNumber4.
    • CommentAuthorAlexisHazell
    • CommentTimeOct 25th 2019

    The entry starting with section ’4’ seems to be a result of the inclusion of the differential graded objects - contents page, which itself has three section headings. So that page should perhaps be edited to use lists for grouping, rather than section headings.

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeOct 25th 2019

    Trying to repair the broken numbering.

    diff, v13, current

    • CommentRowNumber6.
    • CommentAuthorDmitri Pavlov
    • CommentTimeOct 25th 2019

    Added a modern definition.

    diff, v13, current

1 to 6 of 6

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