Timeline for How do you show that $S^{\infty}$ is contractible?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 3, 2022 at 20:43 | comment | added | HDB | @william_grisaitis See for example math.jhu.edu/~eriehl/ssets.pdf and it’s references. | |
| Apr 3, 2022 at 14:21 | comment | added | william_grisaitis | Thank you so much. Do you have a recommendation for a book explaining some of the concepts you mentioned (eg simplicial nerve) and using some of this notation? Eg I don't know what $[n] \to J$ means. (An equivalence class?) | |
| Apr 2, 2022 at 10:38 | comment | added | HDB | @william_grisaitis It has two objects $x_1$, $x_2$ and all four possible morphism sets $J(x_i, x_j)$ have exactly one element. This uniquely defines the composition. If $i = j$, said element is the identity morphism and otherwise it is the isomorphism between the objects, respectively its inverse. | |
| Apr 1, 2022 at 3:28 | comment | added | william_grisaitis | Could you explain the walking isomorphism category $J$? Is it a diagram? I'm reading Bradley Bryson & Terilla fwiw. | |
| Mar 13, 2022 at 11:05 | history | edited | HDB | CC BY-SA 4.0 |
edited body
|
| Mar 8, 2022 at 18:23 | history | edited | HDB | CC BY-SA 4.0 |
added 6 characters in body
|
| Mar 8, 2022 at 0:50 | history | answered | HDB | CC BY-SA 4.0 |