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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeOct 12th 2011

    I have added an explanatory paragraph to n-poset in reply to this MO question.

    Also, at poset itself I have added a word (“hence”) to indicate that if something is a category with at most one morphism between any ordered pair of objects, then it is already implied that if there are two morphisms back and forth between two objects, then these are equal.

    • CommentRowNumber2.
    • CommentAuthorTobyBartels
    • CommentTimeOct 13th 2011

    I think that you read that “hence” line at partial order wrong. It’s giving the skeletality, not the thinness; it doesn’t follow. I added to it what does follow, which hopefully will make it more clear.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeOct 13th 2011

    Right, thanks.