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• 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 $Top$ 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 $n$Lab 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)

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.

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