Geometric intuition about continuous and uniform continuous functions
44544
What is the geometrical difference between continuity and uniform continuity?
131992
A problem on continuous functions
158221
Prob. 4 (a), Sec. 20 in Munkres' Topology, 2nd ed: Are these functions continuous in the product, uniform, and box topologies?
117419
Why is $e^{x}$ not uniformly continuous on $\mathbb{R}$?
22597
Composition of measurable function and continuous function
6415
Distance function is continuous in topology induced by the metric
60070
Unique uniformly continuous function into complete space
28766
Intuition behind topological spaces
128069
Continuity in Slices + Mapping Compact Sets to Compact Sets = Continuous
80872
Remark from baby Rudin about continuous function
50366
Convolution is uniformly continuous and bounded
147247
Continuous function on closed unit ball
125682
Proof verification: the product of two continuous functions is continuous
32571
Is the maximum function of a continuous function continuous?
47498
Integration and theorems on continuous functions
9614
How does the existence of a limit imply that a function is uniformly continuous
47419
Asymptotics of uniformly continuous functions over $\mathbb R$