Prove that these loops are homotopic
52548
Topological group: Multiplying two loops is homotopic to linking these paths?
52729
Homotopic maps $(X, A) \to (Y, B)$ induce homotopic maps $X/A \to X/B$
55064
Homology groups of torus
74305
Homology of a simplicial set
117877
Are homotopy equivalent path-connected spaces homotopy equivalent as pointed spaces?
100987
Let f be an r-cycle in $S_n$. Given any $h \in S_n$, show that $hfh^{-1} = (h(x_1), h(x_2), \dots, h(x_r))$
8799
Mapping homotopic to the identity map has a fixed point
110729
Maps to Sn homotopic
46563
Show that the quotient space is homeomorphic to the n-disc
106443
Question on relative homology
12104
How to prove this result involving the quotient maps and connectedness?
23156
Homotopy equivalence from torus minus a point to a figure-eight.
123742
Proving connectedness of the $n$-sphere
78963
Homotopy lifting property of $\mathbb{R} \to S^1$ in Hatcher
16092
How to prove that the composition of two surjective functions is surjective
139779
Homotopic maps have homotopy equivalent mapping cones
126881
(weak) homotopy equivalence