Timeline for Is any geometry also a Klein geometry?
Current License: CC BY-SA 4.0
8 events
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| Feb 3, 2022 at 11:15 | comment | added | Jukka Kohonen | The answer might also depend on the meaning of "any" ("is every geometry also..." vs. "is some geometry also..."). Many times it is best to avoid the "any" quantifier. | |
| Feb 3, 2022 at 3:31 | comment | added | Kapil | Here is a kind of answer for dimension at least 3. The case of dimension 2 assuming Desargues' axiom was answered positively by Blaschke. The reference to Blaschke can be found in Sharpe's book. | |
| Feb 3, 2022 at 1:57 | review | Close votes | |||
| Feb 9, 2022 at 3:01 | |||||
| Feb 2, 2022 at 23:37 | comment | added | Ryan Budney | The answer will depend on precisely how constrained your notion of "metrical or axiomatic geometry" is. You could tautologically define things in a way where the answer is yes, I suppose. But you probably won't get agreement on that being the class of "metrical or axiomatic geometry". | |
| Feb 2, 2022 at 23:08 | history | edited | YCor | CC BY-SA 4.0 |
edited tags, formatting
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| Feb 2, 2022 at 21:08 | history | edited | Zuhair Al-Johar | CC BY-SA 4.0 |
deleted 13 characters in body
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| Feb 2, 2022 at 21:02 | comment | added | Ben McKay | Usually the definition of a Klein geometry requires local homogeneity, so clearly not. | |
| Feb 2, 2022 at 20:59 | history | asked | Kugutsu-o | CC BY-SA 4.0 |