If the product of two continuous functions is zero, must one of the functions be zero?
11974
product of two non zero continuous function is zero
136011
Must $f$ be continuous?
62817
Functions which are Continuous, but not Bicontinuous
80547
If $0$ is the zero-object $ \Longrightarrow F(0) $ is the zero object when $F$ additive
83338
Show that there's no continuous function that takes each of its values $f(x)$ exactly twice.
104510
For continuous $f$, $\int_0^x f(t)dt = ∫_x^1f(t)dt$ implies $f=0$.
12523
Supremum of a Continuous Function is Continuous
118048
Can a function with just one point in its domain be continuous?
82280
Problem about continuous functions and the intermediate value theorem
28730
product of two uniformly continuous functions is uniformly continuous
109942
Find continuous functions such that $f(x+y)+f(x-y)=2[f(x)+f(y)]$
108792
Is the product of two non-holomorphic function always non-holomorphic?
138544
For which values of $x$, will $f (x) . f '(x) < 0$?
41690
Products of Continuous functions: Topology
88640
Is $\sqrt x$ continuous at $0$? Because it is not defined to the left of $0$
141618
Is every real valued function on an interval a sum of two functions with Intermediate Value Property?
143457
Is product of two closed sets closed?