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nLab > Latest Changes: Stone gamut

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  1.  
    • CommentRowNumber1.
    • CommentAuthorCorbin
    • CommentTimeDec 18th 2023

    Stub page on Stone gamut.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorCorbin
    • CommentTimeDec 18th 2023

    Transcribe a paragraph about discreteness.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorCorbin
    • CommentTimeDec 18th 2023

    Start filling out examples. I realize now that my notes are imprecise on the infinite cases. For example, topological spaces and locales have the same range of discreteness, and thus overlap, on finite cases; but they are distinct categories. I should probably define the finite equivalences first, and then extend them to infinite equivalences carefully. At least (Pratt 1995) was aware of this, even if they didn’t explicitly say it.

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorCorbin
    • CommentTimeDec 23rd 2023

    Cite (Pratt 1999). Throw out most of the prose; it’s too vague and wordy. Instead, set up a table summarizing dualities.

    diff, v4, current

    • CommentRowNumber5.
    • CommentAuthorCorbin
    • CommentTimeDec 29th 2023

    Add another row and citation.

    diff, v5, current

1 to 5 of 5

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