Classify all alphabets into homeomorphism classes $\{ M N B H\}$, 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?

H cannot be homeomorphic to N because here exist a point in H, such that removal of that point from H, breaks up H into 3 disjoint components. Neither B nor N has that kind of a point.
