Why is $f(U) \cap V$ the zero set of $y^{n+1}, \dots, y^m$?
9793
Why is the image of a smooth embedding $f: N \to M$ an embedded submanifold?
115606
Proofs involving $ (A\setminus B) \cup (A \cap B)$
88311
Linear functional f(v)=0 imply v=0
131000
A proof of a criterion of vanishing of a function.
110643
What are the strategies I can use to prove $f^{-1}(S \cap T) = f^{-1}(S) \cap f^{-1}(T)$?
76292
Showing that $f$ is identically $0$ on $\mathbb{D}$
55488
Proving that $\operatorname{codim}(X,Y)=\dim(\mathcal{O}_{X,\eta})$
1162
Why $\{\mathbf{0}\}$ has dimension zero?
128043
$A^n=0$ for $A$ nilpotent without the use of minimal polynomial
74623
Associative rule of subspaces and vector spaces: $(U+V) \cap W = U + (V \cap W)$
10477
Finding the closure of A=$\mathbb Q \cap [0,1]$.
63516
$C^1[0,1]$ is not complete with respect to sup norm
107727
$m\{x\in [0,1]:f'(x)=0\}>0$
113385
Example of $f,g: [0,1]\to[0,1]$ and Riemann-integrable, but $g\circ f$ is not?
22133
Why is the covariant derivative of the determinant of the metric zero?
88598
Property of $\{0^n, 1^n, \ldots\}$
15175
When does a Möbius transformation map $\Im(z)>0$ to itself?