Timeline for Modern source for spectra (including ring spectra)
Current License: CC BY-SA 3.0
4 events
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| Feb 8 at 8:32 | history | made wiki | Post Made Community Wiki by Stefan Kohl♦ | ||
| Nov 24, 2011 at 5:29 | comment | added | Anthony Bak | Peter, Can you elaborate? Are you recommending the "Modern Foundations for Stable Homotopy Theory" article (by you and others) because they are not detailed but give a good overview of the modern viewpoint? Since I'm not entirely sure what all the choices for definitions of spectra are (and what consequences such choices have) - is there something that lays out what the choices are and why you would chose one over another? | |
| Nov 24, 2011 at 3:15 | comment | added | Peter May |
Greg, there are ring spectra and there are ring spectra: in the homotopy category and on the point-set level. The older sources like Switzer cannot possibly treat the modern world of point-set level ring and module spectra. In that old world, the cofiber of a map of module spectra is not a module spectrum: very unsatisfactory, and I'm sure not what Bak is looking for. One intentionally undetailed source is Modern foundations for stable homotopy theory'' (by EKMM authors) in I.M. James Handbook of algebraic topology''.
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| Nov 23, 2011 at 21:09 | history | answered | Greg Friedman | CC BY-SA 3.0 |