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• CommentRowNumber1.
• CommentAuthorDavid_Corfield
• CommentTimeJan 14th 2016
• (edited Jan 14th 2016)

That doesn’t look right at Via left homotopy of spectra. $\ell$ is supposed to be the forgetful functor from spectra to prespectra.

But what kind of spectra are we looking at? It seems to be coordinate-free spectrum. So then we need a definition of prespectrum.

• CommentRowNumber2.
• CommentAuthorDavid_Corfield
• CommentTimeJan 14th 2016

I think I’ve fixed it now.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeJan 14th 2016

Thanks for catching this. I had the labels of the two arrows switched around. Thanks.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeFeb 9th 2016
• (edited Feb 9th 2016)

I have been adding this and that to stable homotopy category: more of an Idea-section (but far from complete), more variants of constructions (but far from complete), more commented references (far form complete), some quick pointers to key properties.

Not done yet.

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeJan 16th 2021
• (edited Jan 16th 2021)

Where the triangulated structure was claimed without any proof or reference, I have added a pointer to the relevant spot in Introduction to Stable Homotopy Theory.

Then, right below that, I have !include-ed the section finite homotopy limits of spectra – section (discussion here)