Unbounded continuous function on non-compact metric space
58816
Existence of a continuous function which does not achieve a maximum.
142414
Generalization of metric spaces?
92005
Existence of compact/complete metric on countable set
64487
Continuous function and dense set
47188
Uniformly Continuous Function sending Bounded Set to Unbounded One
128911
Continuous extension of a real function
27517
Isometry in compact metric spaces
33488
A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
52014
Showing $(C[0,1], d_1)$ is not a complete metric space
113450
Construction of a function which is not the pointwise limit of a sequence of continuous functions
140124
The distance function on a metric space
47251
Non-compactness of $\mathbb{R}$ with the cocountable topology
127739
Is a continuous function on a bounded set bounded itself?
5295
Can the graph of a bounded function ever have an unbounded derivative?
34344
Is a function that maps every compact set to a compact set continuous?
15487
Continuous function from a connected set?
2118
Are continuous functions with compact support bounded?