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    • CommentRowNumber1.
    • CommentAuthorTobyBartels
    • CommentTimeAug 29th 2015

    It's really the reflection of topological spaces within a larger category, but usually people think of it as underlying: underlying topological space.

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeAug 29th 2015

    Where you say ’point’ in the article, should there be some understanding that such points induce points of the frame 𝒪\mathcal{O}, i.e., there is an assigned function |X|hom Frame(𝒪,2){|X|} \to \hom_{Frame}(\mathcal{O}, \mathbf{2}) from points in the underlying set to frame maps?

    • CommentRowNumber3.
    • CommentAuthorTobyBartels
    • CommentTimeAug 29th 2015

    Right, that's supposed to be implied by the phrase ‘frame of open subsets’. That is, the frame is a subframe of the powerset of the set of points.

    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeAug 30th 2015

    Thanks. I went ahead and added that in.