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    • CommentRowNumber1.
    • CommentAuthorTodd_Trimble
    • CommentTimeSep 13th 2012

    The category of prosets is a coreflective subcategory of the category of topological spaces. I edited in this observation at specialization order, and am removing a query box:

    +–{.query} There's an adjunction here; I should think about which way it goes and whether it's a reflection or something. —Toby Mike: If it exists, it’s either a reflection or a coreflection, since the functor ProsTop\Pros \to \Top is fully faithful. =–

    • CommentRowNumber2.
    • CommentAuthorTobyBartels
    • CommentTimeSep 13th 2012


  1. The second of the two equivalent conditions was reversed by mistake. Now it’s been corrected.


    diff, v9, current

  2. Retract the previous edit.


    diff, v9, current

  3. Fixed minor typo.


    diff, v10, current

    • CommentRowNumber6.
    • CommentAuthorPatrick Rabau
    • CommentTimeJan 31st 2023

    fix inconsistent name of category of prosets

    diff, v12, current

    • CommentRowNumber7.
    • CommentAuthorGuest
    • CommentTimeMay 23rd 2023

    added definition of specialization order in dependent type theory and a proof that the specialization order is a preorder

    diff, v13, current

    • CommentRowNumber8.
    • CommentAuthorGuest
    • CommentTimeMay 23rd 2023