A vector space over an infinite field is not a finite union of proper subspaces?
51397
If a field $F$ is such that $\left|F\right|>n-1$ why is $V$ a vector space over $F$ not equal to the union of $n$ proper subspaces of $V$
151425
Does $\mathbb{R}^n$ have a real vector space structure with dimension other than $n$?
91173
Finite-dimensional subspace normed vector space is closed
18423
Subspace of Lindelöf space is not Lindelöf: Example
22295
Subspace of a separable space is separable
28238
A question about long exact sequence of finite dim vector spaces
70543
Does an uncountable discrete subspace of the reals exist?
43814
What does it mean when a set is said to be a "finitely generated vector space"?
120344
Are there nontrivial vector spaces with finitely many elements?
84830
Vector space of infinite sequences in $\Bbb R$
154625
$\operatorname{span}(x^0, x^1, x^2,\cdots)$ and the vector space of all real valued continuous functions on $\Bbb R$
81229
Show that $(C([a,b]),\|{\cdot}\|_2)$ is not a complete normed vector space
116112
Examples of 'almost' vector spaces where unitary law fails
65494
Proper subspaces of $ R^n $
139176
The real line is not homeomorphic to any non-trivial product space
17748
Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?
17495
Show that the vector space of all continuous real-valued functions is infinite-dimensional