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Mar 30, 2010 at 19:29 comment added Sean Tilson ...Functor theorem and you certainly don't learn anything about vector bundles. this might be a direct quote from the audio file on online.kitp.ucsb.edu/online/mp03/hopkins4
Mar 30, 2010 at 19:28 comment added Sean Tilson A lot of the chromatic picture comes from what you describe (as far as I understand it, which isnt much). The infusing of Lubin-Tate Theory for example! Also, this way of constructing spectra does not seem to be the most desired to anyone other than a homotopy theorist, I mean that while we get an honest spectrum out of it we don't really know anything at all about the spectrum except for it's coefficients, which is enough to do some things but not everything. for example I am not sure you can get adams operations out of Hopkins-Hovey's construction of K-theory using the Landweber exact...
Mar 30, 2010 at 6:32 history answered Dev Sinha CC BY-SA 2.5