To prove given set is basis for topology on $\mathbb{Z}$
56646
Arithmetic progression topology
74330
$\mathbb{R}^n$ not homeomorphic to open subset of $\mathbb{R}^m$
116943
Proof for maximal ideals in $\mathbb{Z}[x]$
69204
When I prove two topologies are same, is it sufficient to prove they have same basis? If so,Why?
153934
How to prove that a set R\Z is open
103717
Topological Property of the Set of Integers
27478
Proof that two basis of a vector space have the same cardinality in the infinite-dimensional case
14713
$X=(-\infty,0]\cup\left\{{1\over n}:n\in\mathbb N\right\}$ with subspace topology Then
7678
Show "countable complement topology" is a topology
2575
Showing that $\mathbb{R}$ is connected
66548
proving topological equivalence
18828
Base and empty set of a topology
72190
Topological proof on discrete topology where $X$ is infinite
104562
Prove that $\mathbb{Z}$ is not isomorphic to additive group of any vector space over any field.
108226
Are these bases for a topology?
59424
Showing that $B=\{(x,y) \in \Bbb{R^2} \mid \ xy>0 \}$ is an open set
78513
Show finite complement topology is, in fact, a topology