Mathematics, 03.09.2019 16:30, shelly30
Let f: a to b be a surjective map of sets prove that the relation a if and only if f(a) = f(b) is an equivalence relation whose equivalence classes are the fibers of f
Answers: 3
(i.e, 
if and only if 
), is clear that 
is an equivalence relation since 
is. Now, by definition we have that ![[a]=\{b\sim a \mid f(a)=f(b) \}=f^{-1}(a)](/tpl/images/0221/7974/7bf55.png)
.
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 20:30, gsmgojgoss9651
Cody was 165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.
Answers: 1
Do you know the correct answer?
Let f: a to b be a surjective map of sets prove that the relation a if and only if f(a) = f(b) is an...
Questions in other subjects:
Mathematics, 23.06.2019 14:00
History, 23.06.2019 14:00
Health, 23.06.2019 14:00
