Keywords

#semi-locally_simply_connected

Semi-locally simply connected

In mathematics, specifically algebraic topology, semi-locally simply connected is a certain local connectedness condition that arises in the theory of covering spaces. Roughly speaking, a topological space X is semi-locally simply connected if there is a lower bound on the sizes of the “holes” in X. This condition is necessary for most of the theory of covering spaces, including the existence of a universal cover and the Galois correspondence between covering spaces and subgroups of the fundamental group.

Wed 26th

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Semi-locally simply connected Locally simply connected space Locally connected space Topological property Locally constant sheaf Hawaiian earring List of general topology topics Glossary of general topology Symmetric space Lie group
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