| 31. | Two manifolds with boundaries can be glued together along a boundary.
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| 32. | Similarly for a differentiable manifold it has to be a diffeomorphism.
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| 33. | An overview of the manifold concept is given in that article.
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| 34. | Being locally compact Hausdorff spaces, manifolds are necessarily Tychonoff spaces.
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| 35. | On the other hand, complex manifolds are significantly more restrictive.
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| 36. | Pseudo-Riemannian manifolds of signature are important in general relativity.
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| 37. | The scenarios were much more manifold than in 2006 and 2007.
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| 38. | Furthermore, the limit cycle is contained on the center manifold.
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| 39. | This makes a topological space that is no longer a manifold.
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| 40. | Similarly, eigenvalues with positive real part yield the unstable manifold.
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