Inverse of "every continuous function has a maximum over a compact domain"
51853
$K\subseteq \mathbb{R}^n$ is a compact space iff every continuous function in $K$ is bounded.
29582
Continuous mapping $f: [0,1]\rightarrow (0,1)$ CSIR December $2013$
155415
Minimax problem for optimization $\inf \sup \frac{x f(x)}{\int_0^1 f(t) dt}$
53349
Prove that $\sqrt{x}$ is continuous on its domain $[0, \infty).$
37850
Does the everywhere differentiability of $f$ imply it is absolutely continuous on a compact interval?
136583
Infimum is a continuous function, compact set
151410
Inequality of continuous functions
55749
Compactly supported continuous function is uniformly continuous
46101
If $f(x)$ is continuous on $[a,b]$ and $M=\max \; |f(x)|$, is $M=\lim \limits_{n\to\infty} \left(\int_a^b|f(x)|^n\,\mathrm dx\right)^{1/n}$?
134752
Proof (epsilon delta) for the continuity of a function at a point
44647
Does pointwise convergence of continuous functions on a compact set to a continuous limit imply uniform convergence on that set?
150274
Inverse of a function - $f^-(x)$ in a restricted domain
127114
Differentiability implying continuity
108997
Continuous functions that attain local extrema at every point
52388
The equivalence of open-set definition of continuous mappings to the $\epsilon-\delta$ definition
28637
Proving continuous image of compact sets are compact
61122
A continuous mapping is determined by its values on a dense set