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## Main Question or Discussion Point

How come the Stoke's Theorem does not require that the manifold on which it takes action, to be simply connected?

And if this is optional how can we use this theorem to show that irrotational vector field may not be also conservative if they are defined over a multiply connected topological space?

And if this is optional how can we use this theorem to show that irrotational vector field may not be also conservative if they are defined over a multiply connected topological space?

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