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• CommentRowNumber1.
• CommentAuthorAndrew Stacey
• CommentTimeFeb 24th 2011

It’s been published!

http://www.tac.mta.ca/tac/volumes/25/4/25-04abs.html

To reiterate what it says in the introduction: thanks to all those who commented on early versions, and especially to Urs for the title.

• CommentRowNumber2.
• CommentAuthorAndrew Stacey
• CommentTimeFeb 24th 2011

(PS Does this mean that I’m now a category theorist?)

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeFeb 24th 2011
• (edited Feb 24th 2011)

Congrats! I have added the new full reference data to diffeological space and Frölicher space. But probably there are more entries that cite your article.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeFeb 24th 2011

(PS Does this mean that I’m now a category theorist?)

Haven’t you received yet by mail the button saying “Officially approved category theorist™”?

• CommentRowNumber5.
• CommentAuthorTim_Porter
• CommentTimeFeb 24th 2011
• (edited Feb 24th 2011)

I hope you are not considered to have category theorist status, as that often leads to research funds drying up! :-( but let me add my congrats to Urs’s.

• CommentRowNumber6.
• CommentAuthorDavid_Corfield
• CommentTimeMar 21st 2012

The paper receives a citation in Hirokazu Nishimura’s Axiomatic Differential Geometry I

In this paper we give an axiomatization of differential geometry comparable to model categories for homotopy theory. Weil functors play a predominant role.

• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeMar 21st 2012
• (edited Mar 21st 2012)

Hirokazu Nishimura’s Axiomatic Differential Geometry I

It’s not quite clear to me what this article achieves over the work that it cites.

Remark 2 there seems to be subject to a misunderstanding, where it says:

the requirement that $𝒦$ should be a topos would presumably be demanding too much so long as $𝒦$ is expected to be naturally realizable in our real world. Synthetic differential geometers have constructed their well-adapted models, which are toposes, in their favotite imaginary world.

• CommentRowNumber8.
• CommentAuthorAndrew Stacey
• CommentTimeMar 21st 2012

That’s actually quite an easy paper to find out who cites it given the Humpty-Dumpty nature of its title. From http://search.arxiv.org:8081/?query=smootheology&in=, I find 7 citations (one with a misssspelllling of my name!).