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added a list of examples to Lie groupoid
I saw some loose ends and made some half-hearted attempts to start filling them without really having time for this. But I created stubs for
and
In Lie groupoid I changed
One way to deal with this is to equip the 2-category with some structure of a homotopical category and allow morphisms of Lie groupoids to be 2-anafunctors, i.e. spans of internal functors $X \stackrel{\simeq}{\leftarrow} \hat X \to Y$.
to
One way to deal with this is to equip the 2-category with some structure of a homotopical category and allow morphisms of Lie groupoids to be anafunctors, i.e. spans of internal functors $X \stackrel{\simeq}{\leftarrow} \hat X \to Y$.
If it’s wrong, change it back and let me know the error of my ways!
(I’m writing a little paper with Derek Wise on gravity and higher gauge theory, and I was looking for standard references on Lie groupoids…)
You’re correct!
I was looking for any online incarnation of
such as a doi, or a jstor entry. Anything?
Try page 263 of http://ehres.pagesperso-orange.fr/C.E.WORKS_fichiers/Ehresmann_C.-Oeuvres_I-1_et_I-2.pdf, i.e. Ehresmann’s collected works. I think that is what you need.
Thanks. Might you know which page in that big file corresponds to the above article?
(It doesn’t seem to be searchable…)
I’ll send you a copy of the paper itself, Urs.
Thanks, but I don’t need to read the paper myself, instead I want to cite it in a way that is useful to others. May we upload it here?
Why not give the link and then add ’starting on page 263’?
Is there a link to the collected works somewhere on the Lab? If not it may be worth while adding.
Hi Tim, ah, thanks for saying that again, had missed that. Okay, am adding the pointer to this now.
(If this is online, I guess David’s more tractable copy may be put online, too. But it has a scary all-capital copyright WARNING right at the beginning, which intimidates even me… )
Yeah, please don’t upload my copy. I did get it under careful arrangements before the whole lot was scanned and put online. I think pointing to the official copy should be sufficient for now. My only worry was that the scanning had gone wrong (like on a few other pages) but I checked and it’s ok.
Sure. Okay, thanks.
have removed dead links and instead added working DOI-links for these Reference-items:
Kirill Mackenzie, Lie groupoids and Lie algebroids in differential geometry, London Mathematical Society Lecture Note Series, 124. Cambridge University Press, Cambridge, 1987. xvi+327 pp (doi:10.1017/CBO9780511661839, MR:896907)
Kirill Mackenzie, General Theory of Lie Groupoids and Lie Algebroids, Cambridge University Press, 2005 (doi:10.1017/CBO9781107325883)
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