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: partial order

Bottom of Page

1 to 7 of 7

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 27th 2019
    • (edited Jan 27th 2019)

    added statement of existence of linear extensions (here)

    Will give this its own entry at linear extension of a partial order, for ease of referencing

    diff, v50, current

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeJan 27th 2019

    For what interest this may have, I’d imagine this proposition would be provable using just the ultrafilter theorem in place of the axiom of choice. (But I’d have to write out a proof to be sure.)

  3. added section on posets in univalent universes and two references

    Anonymous

    diff, v59, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJul 22nd 2022

    In the section As a category with extra properties I have hyperlinked several “therefore” and “we may” to the new dedicated entry: relation between preorders and (0,1)-categories

    diff, v60, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 1st 2023

    added a “Related concepts”-link to Thomason model structure and pointer to Bruckner’s article on Thomason-cofibrant posets

    diff, v61, current

  6. moved the material from Kolmogorov topological space which is really about turning preorders into partial orders in dependent type theory in the specific case of the specialization order of a topological space to this article

    Raymond

    diff, v62, current

    • CommentRowNumber7.
    • CommentAuthorzskoda
    • CommentTimeAug 31st 2024

    Examples – added

    • In a logic with implications, the set of propositions is partially ordered with respect to implication as a relation.

    diff, v65, current

1 to 7 of 7

  1.