Multiply connected space

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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

Definition

A topological space is said to be n-connected for a given n \ge 0 if its first n homotopy groups are trivial. In particular:

A weakly contractible space is a topological space which is n-connected for every n \ge 0.