Timeline for Grothendieck's Tohoku Paper and Combinatorial Topology
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 30, 2010 at 7:14 | comment | added | Victor Protsak | Yes, this reads like an answer to a similar but not identical question "How did Grothendieck's Tohoku paper reinterpret the basics of homological algebra?" I would say that relevance for algebraic topology is hidden in your 3rd paragraph: before Grothendieck, homology and cohomology were viewed as functions of a topological space (the "non-abelian argument" in Gelfand-Manin's parlance), hence the Eilenberg-Steenrod axioms, whereas Grothendieck retooled them as functions of the sheaf (the "abelian argument", ibid) and opened the door to the methods of homological algebra. | |
| Mar 21, 2010 at 22:11 | comment | added | Ryan Budney | I sometimes think of myself as one. :) | |
| Mar 21, 2010 at 16:40 | comment | added | bhwang | You're definitely right. It's titled "Sur quelque points d'algèbre homologique" for a good reason. However, I do not personally know of any other way that the question could be answered/interpreted in a way that makes sense. Maybe an algebraic topologist could give a better answer? | |
| Mar 21, 2010 at 5:40 | comment | added | Ryan Budney | IMO saying this is a reinterpretation of the basics of algebraic topology is an overstatement. It's more of an elaboration of homological algebra than a reinterpretation of algebraic topology. | |
| Mar 21, 2010 at 4:58 | history | answered | bhwang | CC BY-SA 2.5 |