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Simple Connectedness

  • Definition: A space X is said to be simply connected if it is a path-connected space and if pi1(X, x0) is the trivial (one-element) group for some x0 in X, and hence for every x0 in X. We often express the fact that pi1(X, x0) = 0.

    Source: Topology (second edition) by James R. Munkres

  • Listed under: Algebraic Topology, Mathematical Analysis, Multivariable Calculus

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