Discrete subspace of a Hausdorff space
128934
Every infinite Hausdorff space has an infinite discrete subspace
136108
Arbitrary intersection of closed, connected subsets of a compact space connected?
72875
"Naturally occurring" non-Hausdorff spaces?
69893
An inner product space and its proper closed subspace with trivial orthogonal complement
100476
Why does a Hausdorff but not countably compact space have an infinite closed discrete subset?
59275
If $X$ is an infinite set, then $X$ with the discrete topology is not compact
111141
Why is every discrete subgroup of a Hausdorff group closed?
95513
Proving $W$ is a subspace of $P_{2}$
53859
Continuous image of separable space
22295
Subspace of a separable space is separable
26794
Metrizability of Hausdorff continuous image of compact metric space
48557
Product of connected spaces
124786
Prove that V contains a subspace of each dimension
48369
discrete subgroups of euclidean space
135814
Prove certain subsets of $\mathbb R^n$ are subspaces
36237
Closed set mapped to itself in a compact Hausdorff space
108052
Does any connected metrizable space with more than one element have uncountably many open sets, each generating a connected subspace?