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nLab > Latest Changes: Heyting field

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  1. starting page on Heyting fields

    Anonymous

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeDec 7th 2022
    • (edited Dec 7th 2022)

    made a few cosmetic adjustments, such as adding more hyperlinks to technical terms.

    Where it said: “Peter Johnstone defined” I made it a reference link saying: “Johnstone (1977) defined”.

    Where it referred to the “axioms above” I gave them a labeled Definition-environement and changed it to the “axioms in Def. 1.1”.

    diff, v2, current

  3. Adding reference

    which defines “weak Heyting fields” as Heyting fields which only satisfy axioms 1 and 3; i.e. what Peter Johnstone called “residue fields”, but residue field is an overloaded term primarily used elsewhere in algebra as the quotient field of a local ring.

    Anonymouse

    diff, v5, current

  4. changed higher algebra - contents to algebra - contents in context sidebar

    Anonymouse

    diff, v7, current

  5. Replaced false statement that

    “A Heyting field with decidable equality is a discrete field.”

    with the true statement that

    “A Heyting field with decidable tight apartness is a discrete field.”

    Anonymouse

    diff, v8, current

1 to 5 of 5

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