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
Canonical name	LocallySimplyConnected
Date of creation	2013-03-22 13:25:23
Last modified on	2013-03-22 13:25:23
Owner	Dr_Absentius (537)
Last modified by	Dr_Absentius (537)
Numerical id	6
Author	Dr_Absentius (537)
Entry type	Definition
Classification	msc 54D05
Synonym	locally 1-connected
Defines	locally simply connected