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In particular ( R 1, ρ ) is complete, connected, and locally connected.
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Exploring the country by foot will become easier in May, when the Wales Coast Path is completed, connecting several disparate paths and creating a 1,030-mile 1,030-mile route that rings the country.
The first two phases are complete, connecting the biggest cities and most of the regions.
In recent years, a subway extension was completed, connecting the track with central Shanghai via a 40-minute train ride.
In 1851, the Lackawanna and Western Railroad was completed, connecting Scranton to upstate New York.
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A Riemannian manifold is a global NPC space if and only if it is complete, simply connected, and of nonpositive sectional curvature.
Example 17 A Riemannian manifold is a global NPC space if and only if it is complete, simply connected, and of nonpositive curvature.
Once the grafting is complete, the bond connecting the guide atom to the rest of the template fragment is attached to the subject atom, and the guide atom is deleted.
In this talk, we focus on negatively pinched Hadamard manifolds which are complete, simply connected Riemannian manifolds with sectional curvature ranging between two negative constants.
Suppose, in addition to the assumptions in Theorem 1, X is complete and rectifiably pathwise connected.
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