what does it mean for a manifold to be "connected" precisely?
what is the difference between a connected riemannian manifold and a nonconnected one. (i know what a riemannian manifold is a manifold equipped with riemannian metric)
what does it mean for a manifold to be "connected" precisely?
what is the difference between a connected riemannian manifold and a nonconnected one. (i know what a riemannian manifold is a manifold equipped with riemannian metric)
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A topological space is connected if you cannot realize it as the union of two disjoint nonempty open subsets.