An archived instance of discourse for discussion in undergraduate Complex Variables.

Source for the definitions on the quiz

cdunn

There are discrepancies in some of the definitions in the textbook and the notes from class. For example, the deffinition of an interior point in the textbook is

"A point $a\in G$ is an interior point of $G$ if some open disk with center $a$ is a subset of $G$."

However my notes say

Let $U\subset \mathbb{C}$ and let $z\in U$. $z$ is called an interior point if $\exists\, r<0$ s.t $D_r(z)\subset U$.

While I know these are ultimately the same, they are still slight variations. So I was wondering if the text or notes are a better place to get the deffinitions or if it matters at all.

mark

Well, I think that should be $r>0$ but, modulo that mistake, these are certainly equivalent. I would accept either on the quiz.