locally simply connected

Let $X$ be a topological space and $x\in X$. $X$ is said to be locally simply connected at $x$, if every neighborhood of $x$ contains a simply connected neighborhood of $x$.

$X$ is said to be locally simply connected if it is locally simply connected at every point.

Title locally simply connected LocallySimplyConnected 2013-03-22 13:25:23 2013-03-22 13:25:23 Dr_Absentius (537) Dr_Absentius (537) 6 Dr_Absentius (537) Definition msc 54D05 locally 1-connected locally simply connected