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Exercise on Hirsch's differential topology

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#differential-geometry #manifolds #differential-topology
2k
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Newton method: why not converge in 1 step?

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#multivariable-calculus #optimization #manifolds #newton-raphson
560
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Intersection of non-transverse manifolds

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#manifolds #differential-topology #smooth-manifolds #transversality
1.2k
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When is the intersection of the hyperboloid with the sphere transverse?

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#manifolds #differential-topology #smooth-manifolds #transversality
250
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connected manifolds with infinite or n charts

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#manifolds #smooth-manifolds
1k
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Surface area of hyperboloid

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#real-analysis #integration #differential-geometry #manifolds #surface-integrals
551
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Identification of Grassmann manifold of 2-plane in $R^4$ with $S^2\times S^2$

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#differential-geometry #manifolds #differential-topology #smooth-manifolds
91
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Lie group empty boundary

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#differential-geometry #manifolds #differential-topology #lie-groups
140
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Inducing differentiable structure via continuous maps

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#general-topology #differential-geometry #manifolds
966
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finding two charts to cover the manifold $S^n$

Published on
#manifolds #spheres #stereographic-projections
395
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Showing that 2 pairs of vectors span the same subspace and that their frames belong to opposite orientations of that subspace

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#linear-algebra #matrices #vector-spaces #manifolds #orientation
372
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Description of tangent space via locally ringed space arrows from dual numbers

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#differential-geometry #manifolds #smooth-manifolds #ringed-spaces
86
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How to prove that a level set is not a submanifold of dimension 1

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#calculus #real-analysis #multivariable-calculus #manifolds #hessian-matrix
113
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Sphere in terms of manifolds

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#linear-algebra #notation #manifolds #spheres
362
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Difference between pseudo-manifolds and quasi-manifolds

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#general-topology #algebraic-topology #manifolds #geometric-topology #simplicial-complex

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