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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeFeb 4th 2010
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeFeb 4th 2010

    I added now to locally constant infinity-stack the version of the story of "covering oo-groupoids" in an arbiztrary oo-topos as I now think it should be.

    It is the part introduced with a query box asking for sanity-checks.

    • CommentRowNumber3.
    • CommentAuthorTobyBartels
    • CommentTimeFeb 4th 2010

    still need locally constant function

    That seemed easy enough to start, so I did.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeFeb 4th 2010

    thanks. I added the remark about the hierarchy of locally constant n-stacks...

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeFeb 5th 2010

    added the Polesello-Waschkies reference with a detailed account of page and verse of their theorems and how they fit into the general abstract picture as the entry presents it now. See locally constant oo-stack - References

    • CommentRowNumber6.
    • CommentAuthorMike Shulman
    • CommentTimeFeb 8th 2010

    Since when are locally constant things always finite? I would say "locally finite" when that's the case.

    • CommentRowNumber7.
    • CommentAuthorDavidRoberts
    • CommentTimeFeb 8th 2010

    I have been wondering about the emphasis on finite fibres too. Generally speaking, such a restriction is only necessary in an algebro-geometric setting, and even then, I personally think that for (n-)groupoids such a thing might have to be relaxed.

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeFeb 8th 2010

    Yes, I had meant to remove this. I'll do so, but maybe not right now, as my machine's battery is dying...