Timeline for Why higher category theory?
Current License: CC BY-SA 3.0
17 events
| when toggle format | what | by | license | comment | |
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| Jan 22, 2021 at 23:21 | comment | added | Daniel Teixeira | @DavidCorwin that note is incredibly enlightening, thank you for showing it! | |
| May 13, 2016 at 17:06 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Aug 13, 2015 at 13:27 | comment | added | Fernando Muro | There are many incarnations of higher category theory, but there's a particularly simple one: topological categories, i.e. categories whose morphism sets carry a natural topology. I'm sure you'll be able to come up with many examples of this. It's undeniable that they are ubiquitous in nature and deserve to be studied. | |
| Nov 5, 2014 at 14:22 | comment | added | Alex | I really appreciate the explanations and comments all of you have shown. Apparently, I still got a lot to learn to fully understand the inner connections. But I can see some motivation now. | |
| Nov 3, 2014 at 19:55 | comment | added | David Corwin | This gives some good motivation: math.harvard.edu/~lurie/282ynotes/LectureV-QuasiCategories.pdf | |
| Nov 3, 2014 at 10:59 | answer | added | Ronnie Brown | timeline score: 3 | |
| Nov 3, 2014 at 5:36 | answer | added | Hiro Lee Tanaka | timeline score: 34 | |
| Nov 2, 2014 at 22:40 | answer | added | Peter May | timeline score: 47 | |
| Nov 2, 2014 at 21:35 | answer | added | Qiaochu Yuan | timeline score: 26 | |
| Nov 2, 2014 at 20:12 | comment | added | Urs Schreiber | and then of course there is ncatlab.org/nlab/show/applications+of+(higher)+category+theory | |
| Nov 2, 2014 at 16:36 | comment | added | David Corfield | Note the difference between 'higher' in the sense of $(\infty, 1)$-categories and in the sense of $n$-categories, where there's an irreversibility to the higher morphisms. You can read Lurie saying he hasn't had much need as yet for the combination of these in $(\infty, 2)$-categories here golem.ph.utexas.edu/category/2009/10/…. You may enjoy the conversation prior to that between people like Minhyong Kim, David Ben-Zvi and Matthew Emerton. | |
| S Nov 2, 2014 at 15:22 | history | suggested | AAK |
add higher-category-theory tag
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| Nov 2, 2014 at 15:12 | review | Suggested edits | |||
| S Nov 2, 2014 at 15:22 | |||||
| Nov 2, 2014 at 14:36 | answer | added | Paul Siegel | timeline score: 30 | |
| Nov 2, 2014 at 13:58 | history | edited | Ulrich Pennig | CC BY-SA 3.0 |
corrected the spelling of "Grothendieck"
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| Nov 2, 2014 at 13:54 | comment | added | user40276 | Read the preface of Lurie's "Higher Topos Theory" | |
| Nov 2, 2014 at 13:35 | history | asked | Alex | CC BY-SA 3.0 |