I'm having troubles with algrbraic topology and I would love to know if there is any solved problem book. I'm interested in the following topics: 1. Homotopy 2. Classification of compact topological surfaces 3. Riemann geometry on surfaces
Thanks, a strong hug.
Definitely take a look at Algebraic Topology: A First Course by William Fulton. It's a fairly gentle introduction to the topic and includes the areas you mention, in particular topology of surfaces (chapters 17-18) and Riemann surfaces (chapters 19-21). It includes hints and answers to some of the problems at the back of the book.