Timeline for Definitions of sequential homotopy colimits
Current License: CC BY-SA 4.0
3 events
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| Feb 16, 2020 at 6:11 | comment | added | Dmitri Pavlov | @NanjunYang: The difference of maps mentioned in the first paragraph is not induced by any kind of additive structure. Rather, it is induced by the fact that Map(X,Y) is weakly equivalent to Map(X,ΩΣY), which is a group object in spaces, which allows us to compute the difference of two maps. | |
| Feb 16, 2020 at 0:44 | comment | added | Nanjun Yang | The point is that $Ho(\mathfrak{M})$ is an additive category but $\mathfrak{M}$ is NOT, so you could't talk about 'difference of maps in $\mathfrak{M}$'. | |
| Feb 15, 2020 at 18:42 | history | answered | Dmitri Pavlov | CC BY-SA 4.0 |