Does there exists a function which maps Cauchy sequence to Cauchy sequence but it isn't uniformly continuous
51247
$f$ be a continuous function maps Cauchy into Cauchy. Is $f$ uniformly continuous?
132713
The space $c_0$ of sequences that converge to 0 is not reflexive
158344
Uniform continuous maps that converge uniformly to a function f. What can we say about f?
1014
Pointwise limit of continuous functions not Riemann integrable
12349
a construction of a continuous function from a normal space to [0,1]
131062
Sequential Continuity does not imply Continuity
75317
Show that $(s_n)$ is a Cauchy sequence
79496
Holomorphic functions which converge pointwise but not almost uniformly
129087
Proof that a sequence of continuous functions $(f_n)$ cannot converge pointwise to $1_\mathbb{Q}$ on $[0,1]$
130019
Function that is continuous only on the transcendental numbers
125975
Pseudo-Cauchy sequence
2142
Finding a set of continuous functions with a certain property 2
153121
show that $\{x_n\}$ is a cauchy sequence
126159
Sequence which converges pointwise but not uniformly?
79417
A "non-trivial" example of a Cauchy sequence that does not converge?
103241
A function that is continuous at the origin but not differentiable there
41847
Uniformly continuous function with unbounded variation