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15 votes
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How to think about infinite generatedness of motivic cohomology

While waiting for someone more competent than me to answer, let me turn the question right back to you. Why should motivic cohomology be finitely generated? The answer is, of course, that there's no …
Denis Nardin's user avatar
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11 votes
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How to think about $\mathbf{Z}(n)_{\mathcal{M}}$

[All cohomology will be reduced cohomology for ease of notation]. There is no analog for classical homotopy theory. This is related to the fact that the Picard group of the category of spectra is $\m …
Denis Nardin's user avatar
  • 16.5k