# Basis for topology using Digital Plane

• Feb 22nd 2009, 04:14 PM
flaming
Basis for topology using Digital Plane
Show that the collection $\beta_p$ of subsets of Z x Z used in defining the digital plane, is a basis for a topology on Z x Z.
• Feb 22nd 2009, 05:33 PM
HallsofIvy
Perhaps it would be a good idea to tell us what $\beta_p$ is!