example of a semilocally simply connected space which is not locally simply connected
Too see this, let be the point to which the circles converge in and represent as Then, every small enough neighborhood of fails to be simply connected. However, since is a cone, it is contractible, so all loops (in particular, loops in a neighborhood of ) can be contracted to a point within .
|Title||example of a semilocally simply connected space which is not locally simply connected|
|Date of creation||2013-03-22 13:25:15|
|Last modified on||2013-03-22 13:25:15|
|Last modified by||antonio (1116)|