Conventional manifold definition refers to the neighbor of every point having a Euclidean space description. http://en.wikipedia.org/wiki/Manifold" [Broken] But(adsbygoogle = window.adsbygoogle || []).push({}); ifmost manifolds have additional property of some curvature, then won't such manifold definition actually be describing a tangent space i.e. not part of curved manifold?

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# Another manifold definition deficiency?

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