Homology of a compact manifold is finitely generated
68926
Finitely generated singular homology
152200
Is the space of smooth sections of a vector bundle finitely generated as a $C^\infty$-module?
102323
Nice neighborhoods of each "piece" in a manifold connected sum
66334
How is every subset of the set of reals with the finite complement topology compact?
143929
dimension of a connected Manifold
24191
Computing the cohomology group of CW-Complex
1756
1-point compactification and embedding
149029
3-manifold examples of homomorphisms between fundamental groups that are not induced by continuous maps
101363
Computing Homology using Mayer-Vietoris
91956
Intuition of the meaning of homology groups
151467
An infinite generating set of a finite dimensional vector space contains a basis
44955
Can $\mathbb CP^n$ be the boundary of a compact manifold?
84630
Homology of orientable surface of genus $g$
157742
Prove that $U(n)$ is a manifold
94215
Fundamental group of the connected sum of manifolds
730
Fundamental Group of surface with infinite genus is free on infinite generators
95930
Finitely generated modules over a Noetherian ring are Noetherian