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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

• $X \to \sharp X$ is a monomorphism
• $X$ 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.)