I am currently working through the book Introduction to Topological Manifolds by Lee. I am doing this by myself and not following a course.
Until now I have found it a good practice to go through the exercises in the text by myself (as the author recommended in the preface), but coming to the problem section at the end of a chapter, the sheer number of problems feels overwhelming.
I think that the problems that are used throughout the text should be solved, but is that enough?
How many problems should one solve (and which ones) in order to be convinced that he has understood the material? I have read that there are people that use this book as a basis for a graduate course, but I have not been able to find a summary of the problems that have been handed out as bomework.
My question is: How many or which problems from the end of a chapter should one at the minimum solve?
You might be interested in the list of problems I assigned the last time I taught the course.