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nLab > Latest Changes: categoricity

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    • CommentRowNumber1.
    • CommentAuthorzskoda
    • CommentTimeJun 9th 2012

    New entry categoricity and a slight extension of the stub abstract elementary class.

    • CommentRowNumber2.
    • CommentAuthorTobyBartels
    • CommentTimeJun 12th 2012

    This is why I (and Goldblatt, and possibly nobody else) say ‘categorial’.

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeJan 4th 2021

    Some references about Shelah’s categoricity and in particular Espíndola’s recent work on Shelah’s eventual categoricity conjecture from the perspective of accessible categories.

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeJan 4th 2021

    I have some informal information that Espíndola’s recent work is very interesting to model theory community but it is not yet independently checked nor widely accepted. The result is rather far reaching and some parts of the argument are not clear to the experts. Let us hope that his method works and that it will be clear at some point.

    • CommentRowNumber5.
    • CommentAuthorzskoda
    • CommentTimeSep 17th 2022
    • Adam Harris, Categoricity and covering spaces, PhD thesis, Merton college arXiv:1412.3484

    diff, v5, current

    • CommentRowNumber6.
    • CommentAuthorzskoda
    • CommentTimeOct 7th 2022
    • C. Daw, A. Harris, Categoricity of modular and Shimura curves, J. Inst. Math. Jussieu, 16(5) (2017) 1075–1101 doi
    • Boris Zilber, Chris Daw, Modular curves and their pseudo-analytic cover, arXiv:2107.11110; Canonical models of modular curves and the Galois action on CM-points, arXiv:2106.06387

    diff, v6, current

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