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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 28th 2013

    finally created intensive and extensive with the topos-theoretic formalization following the concise statement in the introduction of Categories in Continuum Physics

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeSep 25th 2016
    • (edited Sep 26th 2016)

    I brought in that commentary from Science of Logic to this section to see if I can understand how it all links up.

    So what is the connection for an object of intensive quantities that

    • XXX \to \sharp X is a monomorphism
    • XX is a commutative ring object?
    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeSep 26th 2016

    Aha, so the extensive description in terms of

    objects which have purely the negative moment of continuity ¯\overline{\sharp}

    relates to case such as:

    the smooth moduli space of differential n-forms is maximally non-concrete. (dcct, Proposition 1.2.63.)