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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.
(PS Does this mean that I’m now a category theorist?)
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.
(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™”?
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.
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.
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 $\mathcal{K}$ should be a topos would presumably be demanding too much so long as $\mathcal{K}$ 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.
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!).
1 to 8 of 8