Understanding a lemma regarding subspace topology
41047
Subspace Topology of a subset
59531
Do $T$-invariant subspaces necessarily have a $T$-invariant complement?
150987
Showing that the product and metric topology on $\mathbb{R}^n$ are equivalent
19396
For subspaces, if $N\subseteq M_1\cup\cdots\cup M_k$, then $N\subseteq M_i$ for some $i$?
63442
Show that if $U$ is an open connected subspace of $\mathbb{R}^2$, then $U$ is path connected
59289
Nested Sequence of Topological Space and the Coherent Topology; Munkres Topology 35.9
18572
Union of a family of connected pairwise not disjoint subspaces is connected
128730
Open subspaces of locally compact Hausdorff spaces are locally compact
146143
Question about proof that finite-dimensional subspaces of normed vector spaces are direct summands
53261
Show that Pn is an (n+1)-dimensional subspace
124786
Prove that V contains a subspace of each dimension
43504
Proving the existence of a complement subspace $U' \subset V$.
27661
The closed graph theorem in topology
135814
Prove certain subsets of $\mathbb R^n$ are subspaces
14713
$X=(-\infty,0]\cup\left\{{1\over n}:n\in\mathbb N\right\}$ with subspace topology Then
12212
Showing a certain subspace of Hilbert space is dense
23740
Confused about the definition of subspace