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 internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure 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 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).

nLab > Latest Changes: preorder

Bottom of Page

1 to 4 of 4

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJul 22nd 2022

    In the section As a category, I have hyperlinked a couple of “Equivalently we may…” and “In other words we…” to the new entry relation between preorders and (0,1)-categories.

    diff, v62, current

    • CommentRowNumber2.
    • CommentAuthoramelia.liao
    • CommentTimeSep 18th 2022

    Fixed section on HoTT preorders/partial orders. The terminology in use before was incoherent and fairly inconsistent (e.g. using ∧ to stand for transitivity) and while preorders and equivalence relations are both symmetric and transitive, it detracts from the exposition on this page to smush them together. Preorders are more naturally generalised to partial orders.

    Added a paragraph explaining that partial orders in HoTT force the type they apply to be an h-set.

    diff, v63, current

    • CommentRowNumber3.
    • CommentAuthorGuest
    • CommentTimeJun 5th 2023

    moving Theorem 3.1 and its proof from specialization order to preorder because the proof applies to all binary relations, not just that of the membership relation between elements and open sets of a topological space.

    diff, v66, current

    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeJun 5th 2023

    Added buzzwords “codensity monad” and “guarded quantification” to the beginning of the section on deriving a preorder from a predicate.

    diff, v67, current

1 to 4 of 4

  1.