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• CommentRowNumber1.
• CommentAuthorJohn Baez
• CommentTimeMar 9th 2019

Described the free suplattice on a poset.

• CommentRowNumber2.
• CommentAuthorTodd_Trimble
• CommentTimeJun 2nd 2019

Added more information on the category $SupLat$.

1. The category of free suplattices is equivalent to Rel.

2. To what would Prof be analogously equivalent?

• CommentRowNumber5.
• CommentAuthorTodd_Trimble
• CommentTimeJun 4th 2020
• CommentRowNumber6.
• CommentAuthorMike Shulman
• CommentTimeJun 4th 2020

Wouldn’t it be presheaf categories, i.e. free cocomplete categories?

• CommentRowNumber7.
• CommentAuthorTodd_Trimble
• CommentTimeJun 4th 2020

Oh, sorry, yes, I was reading much too quickly.

3. added “finite” in definition to avoid misunderstanding.

• CommentRowNumber9.
• CommentAuthorTodd_Trimble
• CommentTimeDec 29th 2020

Daniel, I’m sorry, but that’s just wrong. I’m going to have to revert.

Normally I refer to posets with finite joins as a join-semilattice.

• CommentRowNumber10.
• CommentAuthorDmitri Pavlov
• CommentTimeDec 30th 2020

Added “arbitrary subsets” to disambiguate.

• CommentRowNumber11.
• CommentAuthorUrs
• CommentTimeDec 31st 2020

I have touched the formatting:

added a table of contents, moved the reference item to a References-section and provided it with hyperlinked ISBN. Also added hyperlinks to more of the technical terms.

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