Show that the collection $\displaystyle \beta_p$ of subsets of Z x Z used in defining the digital plane, is a basis for a topology on Z x Z.

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- Feb 22nd 2009, 04:14 PMflamingBasis for topology using Digital Plane
Show that the collection $\displaystyle \beta_p$ 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 PMHallsofIvy
Perhaps it would be a good idea to tell us what $\displaystyle \beta_p$ is!