Timeline for Describe a topic in one sentence.
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 7, 2012 at 18:11 | comment | added | Todd Trimble | Although I'd apply it more to model category theory. | |
| Oct 7, 2012 at 18:10 | comment | added | Todd Trimble | It's actually one of the better slogans here. | |
| May 21, 2011 at 14:38 | comment | added | Tom Goodwillie | Quillen's first paper on model categories was called "Homotopical Algebra" to emphasize this analogy. But homotopy theory was a subject before that sort of abstract homotopy theory came in, and although derived-functor methods are an important tool in the homotopy theory of spaces they aren't what it's all about. | |
| Nov 28, 2010 at 17:20 | comment | added | Sean Tilson | really andrew? If anything most answers are vast oversimplifications. This one does in fact have some meat to it though. Quillen's theory of model categories is precisely what (I think) is being referenced. With a simplicial model structure you can do resolutions like you would in homological algebra. | |
| Nov 28, 2010 at 6:19 | comment | added | The Mathemagician | Hmmmmmm-any of the topologists want to take issue with this one as an oversimplification? | |
| Nov 27, 2010 at 23:14 | history | answered | Joel Dodge | CC BY-SA 2.5 |