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nLab > Latest Changes: partial order

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  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

  8. Added section on finite posets and Birkhoff duality (mostly copied from distributive lattice article)

    Anonymouse

    diff, v67, current

  9. Adding reference

    Anonymouse

    diff, v68, current

  10. Adding reference

    • {#Birkhoff37} Garrett Birkhoff, Rings of sets. Duke Mathematical Journal, 3(3):443–454, 1937.

    Anonymouse

    diff, v68, current

1 to 10 of 10

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