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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 $\Pros \to \Top$ is fully faithful. =–

• CommentRowNumber2.
• CommentAuthorTobyBartels
• CommentTimeSep 13th 2012

Thanks!

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

Anonymous

2. Retract the previous edit.

Anonymous

3. Fixed minor typo.

Anonymous

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