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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeApr 28th 2014

created a minimum at connective cover, just for completeness

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJan 19th 2021
• (edited Jan 20th 2021)

I have tried to turn the line on connective covers of ring spectra into something more informative. Now it reads:

The connective cover construction extends from plain spectra to E-∞ ring spectra (May 77, Prop. VII 4.3) …

(Or so it says in Baker-Richter 05, p. 1. It takes much chasing of notation to deduce what May 77, Prop. VII 4.3 really says, I haven’t really checked.)

…though besides the canonically inherited ring structure the connective cover may sometimes carry other ring structures (Baker-Richter 05, p. 1).

Ignorant question:

How about just homotopy-commutative ring spectra? Does the connective cover construction extend to these functorially?

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeJan 20th 2021

expanded out the nature of the coreflection just a tad more

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