Tuesday, November 7, 2017 - 12:00 to 12:50

158 Benedum Hall

### Abstract or Additional Information

In topology, a basis tells us what the open sets of a space can look like. We can also encode the information contained in a basis into a set of generating functions in $C_p(X)$, the set of continuous functions from the space $X$ to the reals with the topology of pointwise convergence. In this talk, we'll explore generators on a variety of spaces and prove some interesting properties about them.