classify all alphabets into homeomorphism classes $\{ M N B H\}$, what does it mean by homeomorphism classes? They're looking upon letters as drawings of topological spaces, perhaps!?
connectedness distinguishes $B$ from other $3$ as if we remove mid point of vertical line of $B$, it is still one single component, but if we remove one point from other three they will be into two component. but if we remove 2 point suitably from $H$ it will be broken into $5$ component, but the case is not with $M$ and $N$ they will be broken into 3 component, so the homeomorphism classes?
$\{H\},\{M,N\},\{B\}$, am I right? is there any other approach?