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addes some sentences concerning the Quillen model structure to model structure on topological spaces
I have added a subsection Restriction to nice topological spaces
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:
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.
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.
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.
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.
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