If two CW complexes have isomorphic homotopy groups, are they homotopy equivalent?
2871
Spaces with equal homotopy groups but different homology groups?
18687
First and second homotopy groups of a connected Lie group
110729
Maps to Sn homotopic
158975
Isomorphism of centers of isomorphic groups
66548
proving topological equivalence
79972
Determining whether two $k$-chromatic graphs are isomorphic (respecting vertex coloration)
52548
Topological group: Multiplying two loops is homotopic to linking these paths?
55778
Group theoretic meaning of natural isomorphisms between certain functors
47617
Are groups with all the same Hom sets already isomorphic?
108156
Algebraic closure of $\mathbb{C}(x)$ is isomorphic to $\mathbb{C}$
106347
Why is the image of a homomorphism a subgroup of the codomain?
90616
When is mapping $g$ to $g^{-1}$ a group homomorphism?
110808
Isomorphisms preserve cyclic
43456
Can the category of chain complexes be realized as a functor category?
74305
Homology of a simplicial set
52729
Homotopic maps $(X, A) \to (Y, B)$ induce homotopic maps $X/A \to X/B$
156606
Universal covering spaces of homotopy equivalent spaces are homotopy equivalent