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Total Cofibres of Diagrams of Spectra
, 2005 If Y is a diagram of spectra indexed by an arbitrary poset C together with a specified sub-poset D, we define the total cofibre (Y) of Y as the strict cofibre of the map from hocolim_D (Y) to hocolim_C (Y). We construct a comparison map from the homotopy limit of Y to a looping of a fibrant replacement of Gamma (Y), and characterise those poset pairs
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The decomposition of stable homotopy. [PDF]
Proc Natl Acad Sci U S A, 1967 Cohen JM.
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ON THE HOMOLOGY AND HOMOTOPY DECOMPOSITION OF CONTINUOUS MAPS. [PDF]
Proc Natl Acad Sci U S A, 1959 Eckmann B, Hilton PJ.
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, 2007 We define a notion of cofibration among n-categories and show that the cofibrant objects are exactly the free ones, that is those generated by polygraphs.
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