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nLab > Latest Changes: model structure on compactly generated topological spaces

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 21st 2021

    I am finally giving this its own page, for ease of cross-linking.

    Currently this mainly contains pointers to the theorems and proofs that I had once written for Introduction to Homotopy Theory and copied from there to classical model structure on topological spaces.

    Currently this just concerns the model structure on k-spaces. Should add a remark on further restriction to CGWH spaces.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 21st 2021
    • (edited Sep 21st 2021)

    added a brief word on the weak Hausdorff version now, too, with pointer to Hovey’s 2.4.25 (That pointer had been missing at model structure on topological spaces, here, so I have now added it there, too).

    v1, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 30th 2021

    added a remark (here) on how the same argument further yields a Quillen equivalent model structure on Δ\Delta-generated spaces

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 24th 2023

    added pointer to:

    diff, v4, current

1 to 4 of 4

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