Question about Hausdorff spaces and their equivalences
2915
$X$ is Hausdorff if and only if the diagonal of $X\times X$ is closed
36237
Closed set mapped to itself in a compact Hausdorff space
87265
If $(A-\lambda{I})$ is $\lambda$-equivalent to $(B-\lambda{I})$ then $A$ is similar to $B$
33140
Two non-homeomorphic spaces with continuous bijective functions in both directions
149980
Are there any countable Hausdorff connected spaces?
131637
Real projective space is Hausdorff: is this proof correct?
134703
Let $X$ be a connected space, $f:X\to X$ continuous involution, $g:X\to\mathbb{R}$ continuous. Prove that $\exists$ $x\in X$ such that $g(x)=g(f(x))$.
152679
Homogeneous topological spaces
26794
Metrizability of Hausdorff continuous image of compact metric space
128934
Every infinite Hausdorff space has an infinite discrete subspace
113534
Show that any metrizable space $X$ is Hausdorff
48174
Are countable topological spaces second-countable?
140472
Is the space $\mathbb{N}$ is a baire spaces ? yes/No
14282
$X/{\sim}$ is Hausdorff if and only if $\sim$ is closed in $X \times X$
158221
Prob. 4 (a), Sec. 20 in Munkres' Topology, 2nd ed: Are these functions continuous in the product, uniform, and box topologies?
70574
How can I prove formally that the projective plane is a Hausdorff space?
42913
Equivalence of the definition of the Subbasis of a Topology