Is it possible to extend Urysohn's lemma to $C^1(X)$?
65509
Several Questions on Smooth Urysohn's Lemma
97391
Prove that $(C^1[0,1], \|\cdot\|)$ is not a Banach space
41057
Does $L^p$-convergence imply pointwise convergence for $C_0^\infty$ functions?
39583
ii) Show that $u$ is not a real part of the function which analytic on $\mathbb{C} \backslash \lbrace 0 \rbrace$
27564
Prove that $\|UVU^{-1}V^{-1}-I\|\leq 2\|U-I\|\|V-I\|$
45682
Show that there exists a unique $v_0 \in H^1(0,1)$ such that $u(0)=\int_0^1(u'v_0'+uv_0), \forall u \in H^1(0,1)$
100134
Proving existence of a surjection $2^{\aleph_0} \to \aleph_1$ without AC
144439
For a $C^1$ function, the difference $|{g'(c)} - {{g(d)-g(c)} \over {d-c}} |$ is small when $|d-c|$ is small
33114
Uniqueness of a continuous extension of a function into a Hausdorff space
58597
A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
43826
Example to prove that $ C^1[0,1] $ is not a Banach space for the uniform norm?
74245
Characterizing non-constant entire functions with modulus $1$ on the unit circle
22890
Is it coherent to extend $\mathbb{R}$ with a reciprocal of $0$?
26658
A proof for $\nabla |u|^p = p\ \text{sgn}(u)|u|^{p-1}\nabla u$.
86308
Yoneda-Lemma as generalization of Cayley`s theorem?
55679
Does there exist a continuous function from [0,1] to R that has uncountably many local maxima?
93910
Equality in Cauchy-Schwarz Inequality implies linear dependence.