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nLab > Latest Changes: kernel of integration is the exact differential forms

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeOct 30th 2017

    created an entry for the statement that the kernel of integration is the exact differential forms with a pointer to a proof, and cross-linked with Lie integration and de Rham theorem

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJun 12th 2019

    finally cross-linked with entry with Integration over manifolds by BV-cohomology

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeJun 12th 2019

    Changed ’opposite’ of an implication to ’reverse’. They don’t have the same meaning to my ear.

    diff, v3, current

  4. Added to the proposition the requirement that the manifold be oriented. Is the condition n≥1n\geq 1 necessary?

    diff, v4, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJun 12th 2019
    • (edited Jun 12th 2019)

    Regarding n=0n = 0: The answer should be: of course. But this highlights that another condition must be missing: connectedness.

  6. Right. After you fixed it there was a comment missing that nn is the dimension. Added that.

    diff, v6, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJun 12th 2019

    Okay, thanks!

    • CommentRowNumber8.
    • CommentAuthorMike Shulman
    • CommentTimeJun 12th 2019

    Re #3 why not just “converse”?

    • CommentRowNumber9.
    • CommentAuthorDavid_Corfield
    • CommentTimeJun 12th 2019

    Sure, that’s better. Will change.

1 to 9 of 9

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