Algebraic Topology William Massey
Chapter 1
Chapter 2

Exercise 3.1
Determining when two classes of paths from to give rise to the sime isomorphism between fundamental groups and

Exercise 3.2
If any two classes of paths from to give rise to the sime isomorphism between fundamental groups and , then the fundamental group is Abelian

Exercise 4.3
Given a retract and the inclusion , and their induced homomorphisms and , the fundamental group of the space is the direct product of and

Exercise 7.4
Based inclusions into a product space give rise to an isomorphism between the product of the fundamental groups and the fundamental group of the product

Exercise 7.5
A theorem about paths in a topological group

Exercise 7.6
A continuation of the previous exercise about topological groups
Chapter 3

Exercise 4.3
A commutative diagram dealing with free products of groups

Exercise 4.4
Elements of finite order in a free product of groups are either “pure” elements of the components or conjugates of “pure” elements
Chapter 5

Exercise 6.2
Covering space computations for several spaces

Exercise 7.2
Determining the automorphism groups of several covering spaces