Timeline for how to make the category of chain complexes into an $\infty$-category
Current License: CC BY-SA 3.0
4 events
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Apr 13, 2012 at 19:58 | history | edited | Yosemite Sam | CC BY-SA 3.0 |
added 106 characters in body
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Apr 13, 2012 at 19:19 | comment | added | Yosemite Sam | I had actually stumbled upon it earlier, will check it out again, thanks. | |
Apr 13, 2012 at 18:51 | comment | added | Dylan Wilson | I think what you're looking for is done in Higher Algebra (Lurie), via the Dold-Kan correspondence: View Ch(A) as simplicially enriched via the Dold-Kan correspondence, and then take the coherent nerve. That's how you make your idea of "homotopies between homotopies" etc., precise. I wrote something about this here which you may or may not find helpful: docs.google.com/a/uw.edu/… | |
Apr 13, 2012 at 18:15 | history | answered | Yosemite Sam | CC BY-SA 3.0 |