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1. • CommentRowNumber1.
   • CommentAuthorTobyBartels
   • CommentTimeAug 29th 2015
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   Author: TobyBartels
   Format: MarkdownItexIt\'s really the reflection of topological spaces within a larger category, but usually people think of it as underlying: [[underlying topological space]].

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

2. • CommentRowNumber2.
   • CommentAuthorTodd_Trimble
   • CommentTimeAug 29th 2015
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   Author: Todd_Trimble
   Format: MarkdownItexWhere you say 'point' in the article, should there be some understanding that such points induce points of the frame $\mathcal{O}$, i.e., there is an assigned function ${|X|} \to \hom_{Frame}(\mathcal{O}, \mathbf{2})$ from points in the underlying set to frame maps?

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

3. • CommentRowNumber3.
   • CommentAuthorTobyBartels
   • CommentTimeAug 29th 2015
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   Author: TobyBartels
   Format: MarkdownItexRight, that\'s supposed to be implied by the phrase ‘frame of open sub*set*s’. That is, the frame is a subframe of the powerset of the set of points.

   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.

4. • CommentRowNumber4.
   • CommentAuthorTodd_Trimble
   • CommentTimeAug 30th 2015
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   Author: Todd_Trimble
   Format: MarkdownItexThanks. I went ahead and added that in.

   Thanks. I went ahead and added that in.