Category:Furstenberg Topology

This category contains results about Furstenberg Topology.

Let:

$\BB := \set {a \Z + b : a,b \in \Z, a \ne 0}$

where:

$a \Z + b := \set {a k + b : k \in \Z}$

Let:

$\tau := \set {\bigcup \AA : \AA \subseteq \BB}$

Then $\tau$ is called Furstenberg topology on $\Z$.