Locally simply connected space
From Topospaces
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
Contents
Definition
A topological space is termed locally simply connected if it satisfies the following equivalent conditions:
- For every point
, and every open subset
of
containing
, there is an open subset
of
contained in
, and which is simply connected in the subspace topology from
.
-
has a basis of open subsets each of which is a simply connected space with the subspace topology.