Timeline for What can be said about the map $K(n)_\ast(X) \to K(n)_\ast(\tau_{\leq n}X)$ when $X$ is a finite complex?
Current License: CC BY-SA 4.0
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| Apr 19, 2019 at 2:46 | comment | added | Nicholas Kuhn | @TimCampion See [Bousfield, A. K. On homology equivalences and homological localizations of spaces. Amer. J. Math. 104 (1982), no. 5, 1025–1042.] The cute idea: $SP^{\infty}$ preserves homology isomorphisms. | |
| Apr 18, 2019 at 21:50 | comment | added | Tim Campion | Great, thanks! It's good to at least know that this map is decidedly nonzero for a good class of nontrucated spaces. Btw, where can I find Bousfield's cute argument? | |
| Apr 18, 2019 at 0:42 | history | answered | Nicholas Kuhn | CC BY-SA 4.0 |