Talk:Vanish at infinity

Capital F

what does the "capital F" notation stand for? is a brief description needed?Brad7777 (talk) 14:45, 6 November 2011 (UTC)

Are you talking about $\mathbb {F}$ in

$f:\Omega \rightarrow \mathbb {F}$ (where $\mathbb {F}$ is one of $\mathbb {R} )$?

As the article exlains, $\mathbb {F}$ is a stand-in for one of the fields $\mathbb {R}$ and $\mathbb {C}$, with "F" probably intended to be reminiscent of field. This usage is quite common. (Though the symbol $\mathbb {K}$ is probably even more commonly used in the same function, with "K" för Körper, the german term for field.) — Tobias Bergemann (talk) 13:46, 8 November 2011 (UTC)

Well... I guess no one will complain if I change it from $\mathbb {F}$ to the more commonly used $\mathbb {K}$, right? Many people like to use $\mathbb {F}$ for finite fields (or at least fields of non-zero characteristic)... Lenacore (talk) 12:32, 11 March 2015 (UTC)