Can a vector space with infinite basis be represented as a countable union of proper subspaces?
70413
A vector space over $R$ is not a countable union of proper subspaces
133266
If $(X, \mathcal{T})$ has a countable subbasis, then it has a countable basis
139951
Direct Sum of vector subspaces
122121
Is there a vector space that cannot be an inner product space?
69206
A finite-dimensional vector space cannot be covered by finitely many proper subspaces?
117575
Every proper subspace of a normed vector space has empty interior
68230
The cardinality of a countable union of sets with less than continuum cardinality
43504
Proving the existence of a complement subspace $U' \subset V$.
151467
An infinite generating set of a finite dimensional vector space contains a basis
74623
Associative rule of subspaces and vector spaces: $(U+V) \cap W = U + (V \cap W)$
151425
Does $\mathbb{R}^n$ have a real vector space structure with dimension other than $n$?
116112
Examples of 'almost' vector spaces where unitary law fails
71489
Countable product of Polish spaces
1799
How many k-dimensional subspaces there are in n-dimensional vector space over $\mathbb F_p$?
50880
Expressing $\Bbb N$ as an infinite union of disjoint infinite subsets.
28238
A question about long exact sequence of finite dim vector spaces
50946
Separable Hilbert space have a countable orthonormal basis