Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limit limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory subobject superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • 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
    • CommentTimeAug 5th 2022

    Disambiguation note at the top

    diff, v7, current

    • CommentRowNumber10.
    • CommentAuthorJ-B Vienney
    • CommentTimeAug 5th 2022

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

    diff, v8, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeAug 6th 2022
    • (edited Aug 6th 2022)

    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
    • CommentTimeAug 6th 2022
    • (edited Aug 6th 2022)

    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
    • CommentTimeAug 8th 2022

    Bijection between coherence spaces and undirected simple graphs added.

    Added “Linear logic” paper as a reference.

    diff, v11, current

    • CommentRowNumber14.
    • CommentAuthormaxsnew
    • CommentTimeAug 17th 2022

    Expand the idea section, restructure a little and add the description of morphisms that I like.

    diff, v12, current

    • CommentRowNumber15.
    • CommentAuthorJ-B Vienney
    • CommentTimeAug 17th 2022

    Excellent!