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nLab > Latest Changes: dominance

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    • CommentRowNumber1.
    • CommentAuthorMike Shulman
    • CommentTimeOct 19th 2016

    New page: dominance

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeOct 20th 2016

    So you’ll tell us about the ’synthetic topology’ you discussed at Introduction to Synthetic Mathematics (part 1)?

    And, will there be a part 2?

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeOct 20th 2016

    The paper I’m working on for the “New Spaces in Mathematics and Physics” project is sort of a part 2.

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeOct 20th 2016

    That would be very interesting for me when you’re ready to release it.

    I started synthetic topology with two references. The second reference speaks of different approaches:

    Synthetic topology is not a finished subject. Among possible approaches [19, 6] we chose the one that is most similar to synthetic domain theory [18, 10], in which spaces are treated as objects of a suitable topos.

    • CommentRowNumber5.
    • CommentAuthorDavidRoberts
    • CommentTimeOct 20th 2016

    Surely Paul Taylor’s Abstract Stone Duality is relevant, if a slightly different approach?

    • CommentRowNumber6.
    • CommentAuthorspitters
    • CommentTimeOct 20th 2016

    I’ve expanded a bit. We also need synthetic domain theory and synthetic computability. Should Vickers’ topology via logic have it’s one page? I am incline to leave it here.

    • CommentRowNumber7.
    • CommentAuthorspitters
    • CommentTimeOct 20th 2016

    Minor changes to synthetic mathematics.

    • CommentRowNumber8.
    • CommentAuthorDavid_Corfield
    • CommentTimeOct 20th 2016

    Re #5, yes, the [6] in the quote in #4 is Taylor.

    Started synthetic domain theory.

    • CommentRowNumber9.
    • CommentAuthormaxsnew
    • CommentTimeAug 12th 2022

    A note on the origin of the name

    diff, v4, current

1 to 9 of 9

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