Timeline for Topology of categories, very basic facts surrounding Quillen's Higher Algebraic K-Theory I
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jan 2, 2016 at 16:00 | history | edited | user61522 | CC BY-SA 3.0 |
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| Dec 11, 2015 at 21:52 | vote | accept | CommunityBot | ||
| Dec 5, 2015 at 21:21 | comment | added | Vidit Nanda | Your first claim is akin to saying that the study of maps from a given space $X$ to the real line carries no interesting topological information because $\mathbb{R}$ is contractible. In particular, this would make all of Morse theory useless... The advantage of that result is an ability to compare (pre)sheaves taking values in categories which you seem to care about (like Set, Top and Vect) | |
| Dec 5, 2015 at 17:55 | answer | added | Anton Fetisov | timeline score: 11 | |
| Dec 5, 2015 at 16:10 | history | edited | user61522 | CC BY-SA 3.0 |
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| Dec 5, 2015 at 15:46 | comment | added | Steven Landsburg | Your question is: What is the importance of these early results in Quillen's paper? To find the answer, read the rest of Quillen's paper. | |
| Dec 5, 2015 at 15:20 | comment | added | Denis Nardin | Could you specify better the question? Right now I do not know what could be an answer. The way I think about these things is usually through the $(\infty,1)$-categorical point of view (in which what you write as $BC$ is just the $\infty$-groupoid generated by $C$) | |
| Dec 5, 2015 at 15:10 | history | asked | user61522 | CC BY-SA 3.0 |