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    • CommentRowNumber1.
    • CommentAuthorMike Shulman
    • CommentTimeJul 24th 2019

    Is there a reason this page departs from the I-believe-standard convention to translate the name as “coherence space” rather than “coherent space” (to avoid confusion with spectral topological space / coherent topological space)?

    diff, v3, current

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeJul 24th 2019
    • (edited Jul 24th 2019)

    My opinion is that the Wikipedia article cited in coherent space is flawed, both because Girard’s Proofs and Types uses the English “coherence space” (and so does his 1987 Linear Logic article, if I remember correctly), and also because Johnstone’s use, cited in the reference Stone Spaces, is about a completely different concept which is not under discussion. So the WP article is muddled.

    My recommendation would be to change from “coherent” to “coherence”, including in the page name, and have a different page for the Johnstone usage.

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeJul 24th 2019

    I don’t have Stone Spaces with me at the moment; is Johnstone’s concept also different from spectral topological space / coherent topological space)?

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeJul 24th 2019

    Change name to “coherence space”.

    diff, v5, current

    • CommentRowNumber5.
    • CommentAuthorTodd_Trimble
    • CommentTimeJul 24th 2019

    Mike #3: I don’t have Stone Spaces handy either, but The Point of Pointless Topology seems to indicate that it’s the same concept (page 46 of the article as paginated).

    • CommentRowNumber6.
    • CommentAuthorMarc
    • CommentTimeJul 25th 2019

    In Johnstone’s Stone Spaces, Section 3.4. (p65), a space is coherent if it is sober and satisfies the conditions in coherent topological space.

    • CommentRowNumber7.
    • CommentAuthorMike Shulman
    • CommentTimeJul 25th 2019

    Ok, great, and spectral topological space does include sobriety, so it’s all really the same modulo that. Is there a reason to include or exclude sobriety?

    • CommentRowNumber8.
    • CommentAuthorDmitri Pavlov
    • CommentTimeAug 4th 2019

    Deleted redirects to coherent space.

    diff, v6, current

    • CommentRowNumber9.
    • CommentAuthormaxsnew
    • CommentTime6 days ago

    Disambiguation note at the top

    diff, v7, current

    • CommentRowNumber10.
    • CommentAuthorJ-B Vienney
    • CommentTime6 days ago

    Added a reference to the not well-known LLwiki. And added an explicit definition of coherence space.

    diff, v8, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTime6 days ago
    • (edited 6 days ago)

    Notice that both references currently offered at coherence space instead say (e.g. here) “coherent space” (see also the nForum discussion there) instead of “coherence space”. In fact, Wikipedia here insists that “coherent space” is for the concept in linear logic, and instead redirects the reader interested in topology to “spectral space”.

    I see that Max added a brief disambiguation line (here) but this confusing state of affairs would deserve more commentary – at least we’d need one authorative reference which actually says “coherence space” – and best would be to add also the original reference which introduced this terminology (Girard, I gather?)

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTime6 days ago
    • (edited 6 days ago)

    Oh, I see now that this very point was discussed at the beginning of the thread above.

    I have now added in the entry pointer to:

    diff, v10, current

    • CommentRowNumber13.
    • CommentAuthorJ-B Vienney
    • CommentTime4 days ago

    Bijection between coherence spaces and undirected simple graphs added.

    Added “Linear logic” paper as a reference.

    diff, v11, current

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