Non-continuous additive map without AC(Axiom of choice)
69724
Is Zorn's lemma necessary to show discontinuous $f\colon {\mathbb R} \to {\mathbb R}$ satisfying $f(x+y) = f(x) + f(y)$?
158567
A uniform continuous function which is not Hölder continuous
117897
A homomorphism induces a continuous map from ${\rm Spec}(A') \to {\rm Spec}(A)$.
29582
Continuous mapping $f: [0,1]\rightarrow (0,1)$ CSIR December $2013$
151358
Continuous image of a locally connected space which is not locally connected
111246
product of two continuous proper maps
65308
Axiom of Choice: Family of non-empty sets mutually disjoint or not?
99816
Existence of Topologically Transitive Maps on nice Metric Spaces
152493
Is an expanding map on a compact metric space continuous?
47639
Uncountable Cartesian product of closed interval
5373
Additive function $T: \mathbb{R} \rightarrow \mathbb{R}$ that is not linear.
32359
Inner product of two continuous maps is continuous
11828
continuous functions on $\mathbb R$ such that $g(x+y)=g(x)g(y)$
131592
Finite choice without AC
58631
Continuity and the Axiom of Choice
98696
Is the exponential map ever not injective?
32081
The dual version of trichotomy of cardinality without AC