singular homology of a simplicial complex
74305
Homology of a simplicial set
38130
Complex structure on $\mathbb{C}\mathbb{P}^2\# \dots \# \mathbb{C}\mathbb{P}^2$
124829
Prove homotopic attaching maps give homotopy equivalent spaces by attaching a cell
115347
Showing that the fiber of a morphism of schemes over a point is homeomorphic to the preimage
76428
Exercise $2.1.1$ - Differential Topology by Guillemin and Pollack
144548
topological structure on smooth manifolds
30626
The mapping cylinder of CW complex
148203
The genus of an algebraic curve is invariant under isomorphisms
112607
Why is homology invariant under deformation retraction/homotopy equivalence?
99689
Zeroth homotopy group: what exactly is it?
101363
Computing Homology using Mayer-Vietoris
57653
Relation between line bundles over $\mathbb{P}^1$ in geometry and topology
42871
Quotient of a local regular ring
32923
Homotopy equivalence of universal cover
156666
Complex conjugated representation and its Young tableaux
89264
Connectedness in the Quotient Space
24191
Computing the cohomology group of CW-Complex