Every basis of a subspace has the same cardinality
94929
Proof that the all bases of a subspace V consist of the same number of vectors?
141794
Invariant subspaces of specific dimension
128934
Every infinite Hausdorff space has an infinite discrete subspace
9082
Do sets, whose power sets have the same cardinality, have the same cardinality?
86325
Is an increasing union of subspaces a subspace?
19132
Similar matrices have the same eigenvalues with the same geometric multiplicity
2109
Max dimension of a subspace of singular $n\times n$ matrices
106606
How to prove that compact subspaces of the Sorgenfrey line are countable?
157565
Is every dense subspace of a separable space separable?
125623
Subspaces of separable normed spaces
73286
Show that the set of all symmetric, real matrices is a subspace, determine the dimension
73790
Are two Hilbert spaces with the same algebraic dimension (their Hamel bases have the same cardinality) isomorphic?
60684
Determine whether the set $W$ is a subspace in $\mathbb{R}^{3}$
4319
Vector space can be written as direct sum of subspaces
123665
A question in Subspaces in linear algebra
88728
Dimensions of vector subspaces in a direct sum are additive
149382
Prove that $(0,1) \subseteq\mathbb R$ and $(4,10) \subseteq\mathbb R$ have the same cardinality.