Is $C^1([a,b])$ with sup norm a complete metric space?
43826
Example to prove that $ C^1[0,1] $ is not a Banach space for the uniform norm?
83159
Defining a metric space
135315
Proving whether a function on the set of real sequences is a metric
62479
A isometric map in metric space is surjective?
35573
A closed ball in a metric space is a closed set
147287
Is it possible to construct a metric in $\mathbb{R}^n $ s.t. it does not induce CONVEX balls?
128598
How to prove this is a metric?
86717
Completeness of $\langle \mathscr{C} [0, 1], \| \cdot \|_1 \rangle$
143674
Space of bounded functions is complete
98759
Proof of "Dual normed vector space is complete"
69528
Metrizability of quotient spaces of metric spaces
43535
show that the interval of the form $[0,a)$ or $(a, 1]$ is open set in metric subspace $[0,1]$ but not open in $\mathbb R^1$
50677
Is this metric space incomplete?
18040
Show that a compact metric space is bounded
93606
Showing that $C[0,1]$ is not complete
65840
Norm induced by metric
97391
Prove that $(C^1[0,1], \|\cdot\|)$ is not a Banach space