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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?

    diff, v6, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 20th 2021

    expanded out the nature of the coreflection just a tad more

    diff, v8, current

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