Continuous of function.
13224
Continuous function positive at a point is positive in a neighborhood of that point
151410
Inequality of continuous functions
122086
continuous function: preimage of closure of a set is closure of preimage
80872
Remark from baby Rudin about continuous function
28730
product of two uniformly continuous functions is uniformly continuous
17223
Continuity of an inverse function.
12240
Problem with a continuous function
14578
Proving that an additive function $f$ is continuous if it is continuous at a single point
100740
proof of that a continuous function has a fixed point
128911
Continuous extension of a real function
58816
Existence of a continuous function which does not achieve a maximum.
148931
Constructing a function that is continuous and has a max on an open interval, but is not necessarily increasing immediately to the left of the max.
117502
Proving that a certain continuous function is surjective.
62334
Continuity and Joint Continuity
145368
How to show $f:Y\to X^{+}$ is continuous?
86327
If the absolute value of a function is continuous, is the function continuous?
136011
Must $f$ be continuous?