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nLab > Latest Changes: fiber bundle

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  1.  
    • CommentRowNumber1.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMar 8th 2021

    Added the original paper by Whitney on fiber bundles.

    diff, v33, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeApr 4th 2021

    I have removed the sentence

    One may say that ’fibre bundles are fibrations’ by the Milnor slide trick.

    from the Idea-section, and instead added a section Properties – Relation to fibrations (here) with statement that fiber bundles are fibrations, and a warning that the converse fails.

    diff, v36, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 9th 2021

    added pointer to:

    diff, v37, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeApr 15th 2023

    added pointer to:

    diff, v41, current

    • CommentRowNumber5.
    • CommentAuthorncfavier
    • CommentTimeMay 9th 2023
    • (edited May 9th 2023)

    Added (here) my best attempt at replacing the “(diagram to come)” text that’s been “to come” for 14 years. Comments and improvements welcome, in particular:

    • I’m not sure about how to render isomorphisms, I just went with headless arrows.
    • I’m not sure if the direction of the transition morphisms as written here matches the usual one in the literature.

    diff, v42, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMay 9th 2023

    Thanks, looks good.

    I’m not sure about how to render isomorphisms, I just went with headless arrows.

    I would certainly want to keep the arrow head on any isomorphism: The direction matters, even if there is an inverse.

    In tikzcd I find a good way to code isos is by “\ar[..., "\sim"{sloped}]”.

    • CommentRowNumber7.
    • CommentAuthorncfavier
    • CommentTimeMay 9th 2023

    Thanks, fixed the isomorphisms.

    diff, v44, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeMay 9th 2023

    Thanks, looks good!

1 to 8 of 8

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