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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 13th 2012
    • (edited Sep 13th 2012)

    Prompted by discussion in the thread on “internal sets” (badly named so) I have added to h-set a comment in Properties - Relation to internal set.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 13th 2012

    I have also edited and expanded the Idea section a little. Please check if you can live with this.

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeSep 13th 2012

    I also disagree with this, for the same reason I mentioned in the other thread. Usually, in homotopy type theory (especially when regarded as the internal language of an (,1)(\infty,1)-topos) it is the 0-truncated objects which play the role of “sets”.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeSep 14th 2012

    What shall we do?

    I suppose we need to more thoroughly keep qualifiers around. Are we on the safe side with the “n-strictness”-terminology?

    Right now I can’t check or do anything, as I have a connection of about one bit per second. But I’ll try to fix later whatever mess I may have created.

    • CommentRowNumber5.
    • CommentAuthorMike Shulman
    • CommentTimeSep 20th 2012

    I’ve rewritten the section “Relation to internal sets” at h-set from the perspectitve I advocated in the other thread. I don’t have time right now to hash out the right “strict” qualifiers, unfortunately. Can you live with what I wrote for now?

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeSep 20th 2012

    Thanks! Very nice and very helpful.

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeOct 27th 2017

    At h-set there was no mentioning that they form a pretopos. I have added a minimum here.

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