Does there exist a model of $ZF¬C$ in which there is a function on $\mathbb R$ which is sequentially continuous at a point where it is not continuous?
58631
Continuity and the Axiom of Choice
21269
Bijective continuous function between $(0 ,\infty)$ and $\mathbb{R}$.
44057
Pointwise but not uniform convergence of continuous functions on $[0,1]$
158309
Find a function that is continuous only on rationals
55679
Does there exist a continuous function from [0,1] to R that has uncountably many local maxima?
22641
Nonlinear function continuous but not bounded
99179
Continuous function with compact domain has continuous inverse
145017
Example of a function $f$ which is nowhere continuous but $|f|$ should be continuous at all points
7036
Is there a bijective continuous function $f: \Bbb R \to \Bbb R$ whose inverse $f^{-1}$ is not continuous?
47419
Asymptotics of uniformly continuous functions over $\mathbb R$
123132
Counterexample for a non-measurable function?
131062
Sequential Continuity does not imply Continuity
80872
Remark from baby Rudin about continuous function
136011
Must $f$ be continuous?
64619
Continuity of a function of product spaces
77944
Injective functions with intermediate-value property are continuous. Better proof?
73594
Existence of continuous function $f$ on $\Bbb R$ which vanishes exactly on $A\subset \Bbb R$