Continuity, homeomorphism, topology
12060
Homeomorphism to graph
9320
Extension of continuous function on a closed subset of $\mathbb{R}$
46287
Let $Y$ be an ordered set in the order topology with $f,g:X\rightarrow Y$ continuous, show that $\{x:f(x)\leq g(x)\}$ is closed in $X$
73469
Continuity of the function $x\mapsto d(x,A)$ on a metric space
102315
difference of uniform continuity and continuity of map
108864
Showing that two topologies give rise to the same topology
32205
Topology on the real numbers such that all polynomials are continuous but cosine is not continuous
143043
When is a local homeomorphism a covering map?
153256
Compact topological space with closed graph implies continuity
155923
continuity of $f(x,y)$ in $\mathbb R^2$.
33114
Uniqueness of a continuous extension of a function into a Hausdorff space
59519
What about the continuity of these functions in the uniform topology?
64619
Continuity of a function of product spaces
58631
Continuity and the Axiom of Choice
21740
Reference for general-topology
52388
The equivalence of open-set definition of continuous mappings to the $\epsilon-\delta$ definition
67948
Why are continuous functions the "right" morphisms between topological spaces?