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nLab > Latest Changes: model structure on topological spaces

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMar 17th 2010
    • (edited Mar 17th 2010)

    addes some sentences concerning the Quillen model structure to model structure on topological spaces

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 3rd 2011

    I have added a subsection Restriction to nice topological spaces

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMar 8th 2016
    • (edited Mar 8th 2016)

    I just see that rather recently Philip Hirschhorn (apparently felt there was still room to feel the need for and then) put a writeup of “a complete and careful proof” of the model structure on TopTop on the preprint server:

    • Philip Hirschhorn, The Quillen model structure on topological spaces (arXiv:1508.01942)

    I have now added this pointer into our entry model structure on topological spaces.

    That reminds me that this and related nnLab entries (also model structure on simplicial sets etc.) are not exactly shining examples of well laid-out entries. Nobody ever bothered to make them be more than a bunch of brief remarks.

    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeMar 10th 2016

    I have a feeling that nice topological space is not the most effective link, and that convenient category of topological spaces would be better.

    Ronnie Brown at one point wanted to duplicate a lot of the latter at the former, but I resisted the idea, one because there was already a dedicated entry, but also because there are many senses of “nice”, some of which we have recorded at the former. But it’s a bit of a grab bag.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMar 11th 2016

    Thanks for catching this. That part originates in revision 18 from March 2011. I went now and briefly adjusted the wording. The whole entry still deserves more cleaning-up though.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 30th 2021
    • (edited Nov 30th 2021)

    I have made “q-model structure” and “m-model structure” redirect to this page here.

    Of course, maybe “q-model structure” should redirect to classical model structure on topological spaces and “m-model structure” might want to point to its own page, eventually. If anyone feels ambitious about this, please go ahead and make such changes.

    diff, v37, current

1 to 6 of 6

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