I do not understand the topology of a Lie group clearly. Let $G$ be a Lie group and $T_eG$ be its tangent space at the identity $e \in G$. Why $Aut(T_eG)$ is an open subset of the vector space of endomorphisms of $T_eG$ (i.e. $End(T_eG)$)? What does "open" mean?
closed as too localized by Noah Snyder, Andres Caicedo, Andy Putman, Deane Yang, S. Carnahan♦ Jan 2 2011 at 4:35