I am doing homework
I have the following defition $-A$ = {$-y$ : $y\in A^c$}, I would like convert it to a expression like $-A$ = {$y$ : anything}
set $A$ is a dedekind cut
how to convert a set to an equivalent set?
-2
$\begingroup$
real-analysis
-
0Well, $-A =\{y: -y \in A^c\}$..... – 2017-01-26
-
0Actually isn't the definition supposes to be $-A = \{-y|y \in A\}$ (not $A^c$). Then you want $-A = \{y|-y \in A\}$ – 2017-01-26
-
0Thank you very much, A is a dedekind cut – 2017-01-26
1 Answers
0
Multiplication by $-1$ is invertible, so you have $-A = \{ y : -y \in A^c \}$.