Issue understanding a particular problem regarding homology of 3-manifolds
67009
Show $H_2(M, \mathbb{Z}) = \mathbb{Z^r}$ if $M$ is orientable, $\mathbb{Z^{r-1}} \oplus \mathbb{Z_2}$ if nonorientable
92303
Homology of $S^1 \times (S^1 \vee S^1)$
68926
Finitely generated singular homology
22150
The only 1-manifolds are $\mathbb R$ and $S^1$
149029
3-manifold examples of homomorphisms between fundamental groups that are not induced by continuous maps
92504
Criteria of a trivial G bundle of a 3-manifold
29453
An epimorphism from $S_{4}$ to $S_{3}$ having the kernel isomorphic to Klein four-group
39010
Metrization of the cofinite topology
78624
CW complexes and manifolds
21198
Proving that the general linear group is a differentiable manifold
155060
Confusion about definition of manifold with boundary
3474
3 questions about Algebraic Geometry and Zariski topology
52548
Topological group: Multiplying two loops is homotopic to linking these paths?
60731
Factorization of a map between CW complexes
120100
Hairy Ball Theorem: homotopy from the identity to the antipodal map
76040
Show that the Euler characteristic of a chain complex is equal to the Euler characteristic of its homology
156245
What does it mean for the group of rotation matrices to have a "manifold structure"