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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJan 31st 2014
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   Author: Urs
   Format: MarkdownItexam starting _[[K(n)-local stable homotopy theory]]_ .

   am starting K(n)-local stable homotopy theory .

2. • CommentRowNumber2.
   • CommentAuthorDavid_Corfield
   • CommentTimeJan 31st 2014
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   Author: David_Corfield
   Format: MarkdownItexSo properties there are related to the $K(n)$ being 'field spectra' (p. 18 of [notes](http://www.math.northwestern.edu/~celliott/notre_dame_notes/Lurie_notes.pdf))?

   So properties there are related to the $K(n)$ being ’field spectra’ (p. 18 of notes)?

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJan 31st 2014
   • (edited Jan 31st 2014)
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   Author: Urs
   Format: MarkdownItexI suppose that plays a role in the proof at some point. But they emphasize that the statement does not follow from abstract properties of anything. They emphasize that the proof uses the hard computations of $K(n)$-(co)-homology of Eilenberg-MacLane spaces in * Ravenel, D. and S. Wilson. The Morava K-theories of Eilenberg-Mac Lane spaces and the Conner-Floyd conjecture. Amer. J. Math. 102 (1980), no. 4, 691748. * Johnson, D. and S. Wilson. The Brown-Peterson homology of elementary p-groups. Amer. J. Math. 107 (1985), no. 2, 427453.

   I suppose that plays a role in the proof at some point. But they emphasize that the statement does not follow from abstract properties of anything. They emphasize that the proof uses the hard computations of $K(n)$-(co)-homology of Eilenberg-MacLane spaces in

   • Ravenel, D. and S. Wilson. The Morava K-theories of Eilenberg-Mac Lane spaces and the Conner-Floyd conjecture. Amer. J. Math. 102 (1980), no. 4, 691748.

   • Johnson, D. and S. Wilson. The Brown-Peterson homology of elementary p-groups. Amer. J. Math. 107 (1985), no. 2, 427453.