Connected Subspace lies entrirely in $X$
63697
connected subspaces need to lie in one separated component
15865
Show that $X = \{ (x,y) \in\mathbb{R}^2\mid x \in \mathbb{Q}\text{ or }y \in \mathbb{Q}\}$ is path connected.
150796
Subspace topology and order topology (2)
12212
Showing a certain subspace of Hilbert space is dense
15576
Addition of two subspaces
92291
$U_1, U_2, ..., U_k$ subspaces of linear space $X$ with same dimensions, prove $X=U_1\oplus V=U_2\oplus V=...=U_k\oplus V$
6547
Given $3$-dimensional subspaces $V, W \subset \Bbb R^5$, there is a nonzero vector in $V \cap W$
42811
Product of path connected spaces is path connected
142014
study of subspace generated by $f_k(x)=f(x+k)$ with f continuous, bounded..
58285
Is it true that if $X$ is connected, then for every nonempty proper subset $A$ of $X$, we have $\mathbf{Bd} \ne \emptyset$
74764
Dimension for a closed subspace of $C[0,1]$.
134065
A question about an $n$-dimensional subspace of $\mathbb{F}^{S}$.
3649
Closed unit interval is connected proof
101712
Let $X$ be obtained by removing finitely many lines from $\mathbb{R}^3$. How do I prove $X$ is connected?
151719
Connected set in $\mathbb{S}^1$
108052
Does any connected metrizable space with more than one element have uncountably many open sets, each generating a connected subspace?
2575
Showing that $\mathbb{R}$ is connected