I' am reading about the zero set of Brownian motion from Introduction to Stochastic Processes by Lawler.
Let $X_t$ be a Brownian motion and define the following random set:
$Z=\{t:X_t=0\}$
Lawler then goes on to discuss the topological properties of this set $Z$. I'll quote from the book:
One topological property the $Z$ satisfies is the fact that $Z$ is a closed set. This means that if a sequence of points $t_i\in Z$ and $t_i\to t$, then $t\in Z$. This follows from the continuity of the function $X_t$. For continuous function, if $t_i\to t$, then $X_t\to X$.
What does the $\to$ symbol mean?