Question

2. [1 mark] Consider the topological spaces obtained by regarding the following letters as subsets of R2 with thickness: QUETZAL So, for example, the letter I is homeomorphic to a rectangle, and not a line segment. Group the resultant topological spaces into homeomorphism classes. You don't need to give any reasoning to justify your answer]

Answer 1

See Q and A both has only one cycle ans is isomorphic ( to understand better see both isomorphic to O).

Letters U,Z,L are isomorphic ( They all can be seen as isomorphic to I)

Other letters E and T are also isomorphic.

So the three isomorphism classes are {Q}, {U}, {E}