Basis of $\mathbb{R}^2_{\rm discrete}$ with the lexicographic order topology
35626
Is $(\mathbb{R}^2, lexicographic) \cong (\mathbb{R}, discrete)\times (\mathbb{R}, usual)$?
15811
Finding a basis for a certain vector space of periodic polynomials
59192
Basis of cotangent space
70785
A finite Hausdorff space is discrete
151467
An infinite generating set of a finite dimensional vector space contains a basis
150987
Showing that the product and metric topology on $\mathbb{R}^n$ are equivalent
34964
Recursive representation of closed sets in Baire Space ($\Sigma^1_1$)
36325
Embedding ordinals in $\mathbb{Q}$
41047
Subspace Topology of a subset
28402
Number of bases of an n-dimensional vector space over q-element field.
133711
Orthogonal basis for infinite-dimensional vector spaces
23837
Why is $\mathbb{R}/{\sim}$ not first countable at $[0]$, where $x \sim y \Leftrightarrow x = y\text{ or }x,y \in \mathbb{Z}$?
90475
Coordinate-free proof of $\operatorname{Tr}(AB)=\operatorname{Tr}(BA)$?
52596
A basis for $k(X)$ regarded as a vector space over $k$
123828
finite and infinite product of discrete space
61226
Group Structure on $\Bbb R$
12698
Orthonormal basis for $\mathcal{L}^2([0,1])$