4E
= 4E
{scope}
{title2=Metric and Topological Spaces}
For <topological spaces>, <continuity> means that $f^{-1}(V)$ is open in $X$ for every open set $V$ in $Y$. Equivalently, inverse images of closed sets are closed. A <homeomorphism> is a bijection for which both the map and its inverse are continuous.