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nLab > Latest Changes: abstract elementary class

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  1.  
    • CommentRowNumber1.
    • CommentAuthorMike Shulman
    • CommentTimeMar 22nd 2019

    Added some references on the categorical point of view on AECs. I think ideally this page would be rewritten to take that perspective from the start, in line with the nPOV, but I certainly don’t have the time (or background) to do that myself.

    diff, v9, current

    • CommentRowNumber2.
    • CommentAuthorjesuslop
    • CommentTimeMar 23rd 2019

    A plan might be to develop F. Dorais answer here via theorem 5.42 in Rosicky/Adamek’s LPAC.

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeMar 25th 2019
    • (edited Mar 25th 2019)

    Mike: Beke, Rosicky article, which you “added” is, with (full publication details, not only arXiv!) already up in the page for a while. Also some other Lieberman’s articles (preceding the newer ones you listed) on the categorical point of view are also in the list above your remark.

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeMar 26th 2019

    Thanks!

    • CommentRowNumber5.
    • CommentAuthorzskoda
    • CommentTimeJul 9th 2020

    Added recent references using topos theoretic methods in model theory of AECs:

    • Christian Espíndola, A topos-theoretic proof of Shelah’s eventual categoricity conjecture for abstract elementary classes, arxiv/1906.09169; A short proof of Shelah’s eventual categoricity conjecture for AEC’s with amalgamation, under GCH, arxiv/1909.13713

    diff, v12, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMar 2nd 2023

    added pointer to:

    diff, v13, current

1 to 6 of 6

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