Timeline for homotopic maps of locally finite spaces
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 15, 2015 at 2:40 | comment | added | Eric Wofsey | Another way to say this without using any model category machinery is that $|K(f)|$ and $|K(g)|$ become homotopic after composing with the map $|K(Y)|\to Y$. But this latter map is a weak equivalence and hence induces a bijection on homotopy classes of maps out of any CW-complex, hence $|K(f)|$ and $|K(g)|$ must be homotopic. | |
| Feb 15, 2015 at 1:05 | comment | added | pw1822 | Could you explain what do you do you mean by ,,$|K(f)|$ and $|K(g)|$ are wekaly homotopic? It seems to me as if it was connected with model categrories, am I right? But I do not understand very well this stuff yet. | |
| Feb 15, 2015 at 0:57 | vote | accept | pw1822 | ||
| Feb 15, 2015 at 0:55 | history | answered | Eric Wofsey | CC BY-SA 3.0 |