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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeFeb 3rd 2021

    a minimum entry, for the moment just so as have a place to record the fact that two smooth functions are smoothly homotopic as soon as they are (continuously) homotopic

    (It sure feels like we must have recorded this somewhere already, but I couldn’t find it…)

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 14th 2022
    • (edited Aug 14th 2022)

    starting here I have added more details on the refinement of continuous homotopy to smooth homotopy, pointing to the relevant theorems in Lee’s “Introduction to Smooth Manifolds”

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorlinuxmetel
    • CommentTimeOct 6th 2024

    To think of smooth homotopy, f,gf, g should be smooth (I also checked the refered PDF).

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 7th 2024

    Right, that was a glitch. Thanks for fixing it!

    • CommentRowNumber5.
    • CommentAuthorStableHolonomy
    • CommentTimeOct 21st 2024

    A coglobular CW-complex could be a model for smooth objects

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeOct 21st 2024

    The comment in #5 makes no sense to me. It would be good to have some clarification.

    • CommentRowNumber7.
    • CommentAuthorStableHolonomy
    • CommentTimeOct 24th 2024
    • (edited Oct 24th 2024)

    Sorry for that, I hope it’s ok if I take until the 31st so I can explain this more thoroughly.