Timeline for Is cohomology always related to topology?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 10, 2021 at 7:37 | vote | accept | Nuno | ||
| Jun 10, 2021 at 7:37 | vote | accept | Nuno | ||
| Jun 10, 2021 at 7:37 | |||||
| Jun 9, 2021 at 17:39 | history | became hot network question | |||
| Jun 9, 2021 at 11:07 | answer | added | Johannes Hahn | timeline score: 23 | |
| Jun 9, 2021 at 10:07 | review | Close votes | |||
| Jun 14, 2021 at 3:02 | |||||
| Jun 9, 2021 at 10:03 | comment | added | Najib Idrissi | @NeilStrickland But only for positively graded chain complexes, if everything is unbounded the connection with topology is more complicated (through spectra I guess). | |
| Jun 9, 2021 at 9:48 | comment | added | Neil Strickland | The homology groups of any chain complex $C_*$ are isomorphic to the simplicial homotopy groups of the simplicial abelian group $A_\bullet$ associated to $C_*$ by the Dold-Kan Theorem. These are in turn isomorphic to the homotopy groups of a topological space, namely the geometric realisation $|A_\bullet|$. | |
| Jun 9, 2021 at 9:39 | history | asked | Nuno | CC BY-SA 4.0 |