I was wondering if central projections between planes are continuous functions.
By central projection I mean the following: let $\Gamma$ and $\Omega$ be planes in $\mathbb{R}^3$ and let $p$ be a point of neither. A central projection $f$ maps a point $a$ of $\Gamma$ to a point $b$ of $\Omega$ if the line $\overline{ap}$ meets $\Omega$ at $b$.