Continuous maps to $S^n$ without antipodal pairs are homotopic
110729
Maps to Sn homotopic
101319
Properties of a continuous map $f : \mathbb{R}^2\rightarrow \mathbb{R}$ with only finitely many zeroes
77621
Continuity of function mapping connected set to connected set
69367
covering map with finite fibres and preimage of a compact set
33330
Continuous Functions from $\mathbb{R}$ to $\mathbb{Q}$
134575
Show that the mapping $f → f~'$ from $C^1([0 , 1])$ to $C([0 , 1])$ is not continuous.
12104
How to prove this result involving the quotient maps and connectedness?
130872
Map $f: S^n \to S^n$ that extends over $D^{n+1}$ must identify a pair of antipodal points
97761
Show that a proper continuous map from $X$ to locally compact $Y$ is closed
41690
Products of Continuous functions: Topology
17607
Open maps which are not continuous
72642
Continuous bijection from $(a,b) \to S^1$?
71173
Show that $\mathbb{A}^n$ on the Zariski Topology is not Hausdorff, but it is $T_1$
72644
Continuous injective map $f:\mathbb{R}^3 \to \mathbb{R}$?
45432
Showing that $f:(0,2\pi]\to S^1$ is not a homeomorphism
133422
How to prove the continuity of an induced map; $g_* : C(X, Y) \rightarrow C(X, R)$, induced from the map $g \in C(Y, R)$, endowed with fine topology.
64084
Existence of a simple closed curve which is not null-homotopic