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May 20, 2020 at 17:54 vote accept Praphulla Koushik
Mar 3, 2020 at 0:08 comment added David White Another source to learn about when two Lie groupoids are homotopy equivalent is the homotopy theory created by Joost Nuiten: link.springer.com/article/10.1007/s10485-019-09563-z. If I had more time, I'd try to dig into the paper to find the weak equivalences, but I'm swamped. So I just leave you the reference.
Feb 23, 2020 at 1:39 comment added Praphulla Koushik @SimonHenry I want to keep information on the space of objects.. I do not know if it is reasonable to call equivalence of Lie groupoids as Homotopy equivalence
Feb 22, 2020 at 19:07 answer added John Greenwood timeline score: 3
Feb 22, 2020 at 17:18 comment added Simon Henry There might be more than one: do you want to consider that equivalences of groupoids are homotopy equivalences, or you want to keep the information of the space of objects ?
Feb 22, 2020 at 13:22 comment added Praphulla Koushik Thank you @YCor
Feb 22, 2020 at 11:26 history edited YCor CC BY-SA 4.0
edited tags; edited title
Feb 22, 2020 at 10:46 history asked Praphulla Koushik CC BY-SA 4.0