Skip to main content
12 events
when toggle format what by license comment
Jun 3, 2020 at 5:39 comment added Praphulla Koushik 4 upvotes says that I have misunderstood something :D Thanks for the edit. It now looks relevant to the question :)
Jun 2, 2020 at 19:39 history edited Gabe K CC BY-SA 4.0
added 203 characters in body
Jun 2, 2020 at 18:56 history edited user44143 CC BY-SA 4.0
deleted 103 characters in body
Jun 2, 2020 at 18:38 history edited user44143 CC BY-SA 4.0
added 240 characters in body
Jun 2, 2020 at 17:55 history made wiki Post Made Community Wiki by Todd Trimble
Jun 2, 2020 at 17:28 history edited Gabe K CC BY-SA 4.0
I expanded the answer to address Matt F's helpful comment.
Jun 2, 2020 at 17:13 comment added Gabe K I was only aware of Lawvere-style synthetic geometry and Villani-style synthetic curvature. I'm somewhat alarmed to find that there is a third definition which I didn't know about. I'll edit the answer to acknowledge your point.
Jun 2, 2020 at 17:02 comment added user44143 @GabeK, there is confusion -- you are talking about Lawvere-style synthetic differential geometry, while there are multiple books by Busemann about synthetic differential geometry in a totally different tradition more closely connected to foundations of math and Finsler geometry. It's not recent, but it's still a problem for the few among us who like both.
Jun 2, 2020 at 16:47 comment added Praphulla Koushik Thanks for taking my comment positively.. :)
Jun 2, 2020 at 16:44 comment added Gabe K Fair enough. Just to clarify, both of these usages are in differential geometry, they just have different origins. To be fair, there probably isn't much confusion because there is some distance between them in the literature, as it were.
Jun 2, 2020 at 16:03 comment added Praphulla Koushik I thank you for your answer.. I was actually looking for terms which have different meaning but used in same area of research.. As your answer says the word "synthetic" is used in different areas of mathematics... There are many such words. I do not know if they create any confusion as they are in a completely different set up.. Sorry for the unclear question.. I have edited it now...
Jun 2, 2020 at 15:26 history answered Gabe K CC BY-SA 4.0