Relationship between (algebraic) vector bundle and (topological) vector bundle on $\mathbb{RP}^{1}$($\mathbb{P}^{1}$)
57653
Relation between line bundles over $\mathbb{P}^1$ in geometry and topology
104758
First book on algebraic topology
52992
Proving that P/PJ is a projective right module over R/J
92303
Homology of $S^1 \times (S^1 \vee S^1)$
87152
The difference between the algebraic torus and the geometric torus
131082
Proof that $\mathbb R/[0,1]$ and $\mathbb R$ are homeomorphic
102879
$\operatorname{Ext}$ and injectives, respectively projectives
145462
On the canonical isomorphism between $V$ and $V^{**}$
26110
Canonical isomorphism between $\mathfrak{so}(3)$ and $\mathbb R^3$ with vector cross product
114987
How many connected components does $\mathrm{GL}_n(\mathbb R)$ have?
7708
Obstruction to the splitness of an exact sequence of holomorphic vector bundles
115347
Showing that the fiber of a morphism of schemes over a point is homeomorphic to the preimage
74663
Is $\mathbb{R}$ an algebraic extension of some proper subfield?
60981
Understanding relation between Quotient Space and $S^1$
55484
Proving that the map from a topological space to a fiber bundle is open.
51018
Proof of proposition 5.3.1 of Ravi Vakil's notes on algebraic geometry
108156
Algebraic closure of $\mathbb{C}(x)$ is isomorphic to $\mathbb{C}$