Timeline for Simplicial homotopy book suggestion for HTT computations
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Mar 23, 2015 at 14:07 | comment | added | Najib Idrissi | I took the liberty of putting updated links. I don't know what I should do with the dead links? | |
| Mar 23, 2015 at 14:05 | history | edited | Najib Idrissi | CC BY-SA 3.0 |
Updated the links
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| Jan 24, 2010 at 20:12 | comment | added | Mike Shulman | "Handed" fibrations are not part of "classical" simplicial homotopy theory; they were invented by Joyal, Lurie, etc. for the study of quasicategories. So you won't find them in any book on "simplicial homotopy theory" as such. | |
| Jan 24, 2010 at 19:54 | comment | added | Urs Schreiber | No, that's right. I just thought if you feel you need more dexterity with handling pushouts etc of simplicial sets, as in your above question, that would be the kind of book that spells outt such computations in detail. | |
| Jan 24, 2010 at 15:04 | comment | added | Harry Gindi | I've read through some of Goerss-Jardine, but they don't really talk about the "handed" fibrations (i.e. left, right, mid). A lot of that book seems devoted to showing that the Kan model structure on SSet is Quillen equivalent to CGHaus with Serre fibrations. That's something I can take on faith without reading it. If I'm wrong about the book focusing on that, let me know. | |
| Jan 24, 2010 at 13:45 | comment | added | Urs Schreiber | I think the book is not meant really meant to be introductory in the way that you may be looking for. It is meant to develop some technology. But have a look at Joyal's lectures. And have you spent some time with Goerss-Jardine "Simplicial homotopy theory"? You should probably start with that. It's online available, too. See the nLab page on simplicial sets for links. | |
| Jan 24, 2010 at 13:31 | comment | added | Harry Gindi | Lurie is a really hard read for me. I don't know if it's like that for everyone, or if most people just skip the proofs for a lot of things, but he rarely defines the terms he uses, which is really frustrating. I'm not sure if it's a mathematical maturity issue or just the fact that he assumes you've at least heard of these things before. | |
| Jan 24, 2010 at 13:08 | comment | added | Urs Schreiber | Yes, I saw your question on the nForum, but I thought it would be more appropriate for me to reply here and let Prof. Joyal reply to you himself there. Also, here more people will see this. But you should all be using the nLab more: if you want literaturee on quasi-categories, look uo the references section on quasi-categories! :-) | |
| Jan 24, 2010 at 12:54 | comment | added | Harry Gindi | In fact, I just asked Prof. Joyal about that. I assume you were posting w/r/t that request. | |
| Jan 24, 2010 at 12:45 | history | answered | Urs Schreiber | CC BY-SA 2.5 |