Timeline for What is modern algebraic topology(homotopy theory) about?
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| Mar 11, 2016 at 5:41 | comment | added | David Corwin | I would comment that this is very related to the question of "What is modern algebraic geometry?" One could then give an answer in the spirit of this one, saying that it is the study of the category of schemes. | |
| Jan 14, 2016 at 16:06 | comment | added | Dmitri Pavlov | I guess it would make sense to say that modern algebraic topology is a language for talking about ∞-categories. Just as sets and categories are languages for mathematics, so are ∞-categories. And although sets and categories are used in many branches of mathematics, we do not refer to these branches as set theory or category theory. | |
| Jan 14, 2016 at 12:46 | comment | added | crystalline | That's incredibly general. I don't think that algebraic topology is about say, $(\infty,1)$-categories of D-modules on algebraic varieties. | |
| Jan 14, 2016 at 12:27 | history | edited | André Henriques | CC BY-SA 3.0 |
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| S Jan 14, 2016 at 12:08 | history | answered | André Henriques | CC BY-SA 3.0 | |
| S Jan 14, 2016 at 12:08 | history | made wiki | Post Made Community Wiki by André Henriques |