3 ms·
R/Z is also a group where 2+2=5 is technically correct, and this abelian group is actually useful. For example, if you consider the quotient topology on R/Z, yo
by 3PS 6y ago
R/Z is also a group where 2+2=5 is technically correct, and this abelian group is actually useful. For example, if you consider the quotient topology on R/Z, you find that it is homeomorphic to a circle.
- Tainnor 6y agoWhile that is also true, in this group all integers are equal to each other. The point is that there is nothing particularly interesting about the specific 2+2=5 example, not that groups in which this is true can't be interesting.