Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Discussion Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: connective cover

Bottom of Page

1 to 6 of 6

  1.  
    • 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

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeApr 7th 2023

    cross-linked (here) with the canonical t-structure on spectra

    diff, v10, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeApr 20th 2023

    added a paragraph (here) making explicit the general notion of connective cover

    diff, v11, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeApr 20th 2023

    added (here) the description of the connective cover for chain complexes

    diff, v12, current

1 to 6 of 6

  1.