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nLab > Latest Changes: premodel category

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  1.  
    • CommentRowNumber1.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 2nd 2020

    Created.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 2nd 2020

    I have fixed the broken intended hyperlinks and added hyperlinks to a bunch of further keywords. Added TOC, floating topic context and plural redirect.

    Finally, bring pedantic, I changed the lead-in from

    A premodel category is a relaxation of the notion of a model category.

    to

    The notion of a premodel category is a relaxation of the notion of a model category.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 2nd 2020

    Also slightly edited this sentence, for readability (I hope):

    Model categories can be singled out among premodel categories by imposing the additional requirement that the class

    W≔AF∘AC W \coloneqq AF \circ AC

    obtained by composing elements of ACAC with those of AFAF, is closed under the 2-out-of-3 property.

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorHurkyl
    • CommentTimeMay 8th 2020

    Mention the distinction between anodyne and trivial cofibrations

    diff, v4, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 8th 2020

    I have equipped the mentioning of the terminology “anodyne (co)fibration” with a pointer to anodyne morphism

    diff, v5, current

    • CommentRowNumber6.
    • CommentAuthorHurkyl
    • CommentTimeMay 9th 2020

    Added related concepts: model category and weak model category.

    diff, v6, current

1 to 6 of 6

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