space of continuous functions
115794
When is the vector space of continuous functions on a compact Hausdorff space finite dimensional?
64260
Prove that a function between metric spaces is continuous iff the inverse image of a closed set is closed
9320
Extension of continuous function on a closed subset of $\mathbb{R}$
28731
Banach space in functional analysis
95321
Subspaces of all real-valued continuous functions on $\mathbb{R}^1$
141223
$f(x^2) = 2f(x)$ and $f(x)$ continuous
36150
Ideal in a ring of continuous functions
12003
Cardinality of set of real continuous functions
158221
Prob. 4 (a), Sec. 20 in Munkres' Topology, 2nd ed: Are these functions continuous in the product, uniform, and box topologies?
74364
Show that function $f$ has a continuous extension to $[a,b]$ iff $f$ is uniformly continuous on $(a,b)$
52922
let $f \colon [a,b] \to \mathbb{R}$ be continuous on $[a,b]$ and..
125682
Proof verification: the product of two continuous functions is continuous
65876
A normed space of continuous functions with norm $\int_{0}^{1}|f(t)|dt$ is not complete
33330
Continuous Functions from $\mathbb{R}$ to $\mathbb{Q}$
28730
product of two uniformly continuous functions is uniformly continuous
22597
Composition of measurable function and continuous function
62817
Functions which are Continuous, but not Bicontinuous