Definition:Sigma-Locally Finite Set of Subsets

Definition
Let $T = \struct {S, \tau}$ be a topological space.

A $\sigma$-locally finite set of subsets is a set of subsets which is the countable union of locally finite set of subsets.

Also known as
A $\sigma$-locally finite set of subsets is also known as a countably locally finite set of subsets.