Simply connected topological space

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Definition

Let (X,J) be a topological space, we say X is simply connected if[1]:

See next

Examples of simply connected spaces

Notes

  1. Jump up Notice we do not specify the basepoint of the fundamental group here, that is we write π1(X) not π1(X,x0) for some x0X, that is because for a path-connected topological space all the fundamental groups are isomorphic

References

  1. Jump up Introduction to Topological Manifolds - John M. Lee